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Finding the Third Proportional to 402,287 and 596,472

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Solution

The third proportional to 402,287 and 596,472 is: 884,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,287 : 596,472 = 596,472 : x
  2. Step 2: Convert to fraction form
    402,287/596,472 = 596,472/x
  3. Step 3: Cross multiply
    402,287x = 596,472 × 596,472
  4. Step 4: Simplify right side
    402,287x = 355,778,846,784
  5. Step 5: Solve for x
    x = 355,778,846,784/402,287
  6. Step 6: Final answer
    x = 884,390.61

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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.