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Finding the Third Proportional to 428,068 and 635,940

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Solution

The third proportional to 428,068 and 635,940 is: 944,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,068 : 635,940 = 635,940 : x
  2. Step 2: Convert to fraction form
    428,068/635,940 = 635,940/x
  3. Step 3: Cross multiply
    428,068x = 635,940 × 635,940
  4. Step 4: Simplify right side
    428,068x = 404,419,683,600
  5. Step 5: Solve for x
    x = 404,419,683,600/428,068
  6. Step 6: Final answer
    x = 944,755.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.