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Finding the Third Proportional to 402,287 and 554,153.50

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Solution

The third proportional to 402,287 and 554,153.50 is: 763,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,287 : 554,153.50 = 554,153.50 : x
  2. Step 2: Convert to fraction form
    402,287/554,153.50 = 554,153.50/x
  3. Step 3: Cross multiply
    402,287x = 554,153.50 × 554,153.50
  4. Step 4: Simplify right side
    402,287x = 307,086,101,562.25
  5. Step 5: Solve for x
    x = 307,086,101,562.25/402,287
  6. Step 6: Final answer
    x = 763,350.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.