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Finding the Third Proportional to 402,265.50 and 596,436

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Solution

The third proportional to 402,265.50 and 596,436 is: 884,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,265.50 : 596,436 = 596,436 : x
  2. Step 2: Convert to fraction form
    402,265.50/596,436 = 596,436/x
  3. Step 3: Cross multiply
    402,265.50x = 596,436 × 596,436
  4. Step 4: Simplify right side
    402,265.50x = 355,735,902,096
  5. Step 5: Solve for x
    x = 355,735,902,096/402,265.50
  6. Step 6: Final answer
    x = 884,331.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.