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Finding the Third Proportional to 437,887.88 and 659,964

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Solution

The third proportional to 437,887.88 and 659,964 is: 994,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,887.88 : 659,964 = 659,964 : x
  2. Step 2: Convert to fraction form
    437,887.88/659,964 = 659,964/x
  3. Step 3: Cross multiply
    437,887.88x = 659,964 × 659,964
  4. Step 4: Simplify right side
    437,887.88x = 435,552,481,296
  5. Step 5: Solve for x
    x = 435,552,481,296/437,887.88
  6. Step 6: Final answer
    x = 994,666.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.