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Finding the Third Proportional to 402,292 and 607,538.50

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Solution

The third proportional to 402,292 and 607,538.50 is: 917,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,292 : 607,538.50 = 607,538.50 : x
  2. Step 2: Convert to fraction form
    402,292/607,538.50 = 607,538.50/x
  3. Step 3: Cross multiply
    402,292x = 607,538.50 × 607,538.50
  4. Step 4: Simplify right side
    402,292x = 369,103,028,982.25
  5. Step 5: Solve for x
    x = 369,103,028,982.25/402,292
  6. Step 6: Final answer
    x = 917,500.30

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