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Finding the Third Proportional to 339,411.94 and 743,630.63

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Solution

The third proportional to 339,411.94 and 743,630.63 is: 1,629,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,411.94 : 743,630.63 = 743,630.63 : x
  2. Step 2: Convert to fraction form
    339,411.94/743,630.63 = 743,630.63/x
  3. Step 3: Cross multiply
    339,411.94x = 743,630.63 × 743,630.63
  4. Step 4: Simplify right side
    339,411.94x = 552,986,506,437.89
  5. Step 5: Solve for x
    x = 552,986,506,437.89/339,411.94
  6. Step 6: Final answer
    x = 1,629,248.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.