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Finding the Third Proportional to 339,848,292.94 and 731,989,549.69

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Solution

The third proportional to 339,848,292.94 and 731,989,549.69 is: 1,576,611,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,848,292.94 : 731,989,549.69 = 731,989,549.69 : x
  2. Step 2: Convert to fraction form
    339,848,292.94/731,989,549.69 = 731,989,549.69/x
  3. Step 3: Cross multiply
    339,848,292.94x = 731,989,549.69 × 731,989,549.69
  4. Step 4: Simplify right side
    339,848,292.94x = 535,808,700,851,709,056
  5. Step 5: Solve for x
    x = 535,808,700,851,709,056/339,848,292.94
  6. Step 6: Final answer
    x = 1,576,611,423.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.