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Finding the Third Proportional to 498,253 and 773,610

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Solution

The third proportional to 498,253 and 773,610 is: 1,201,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,253 : 773,610 = 773,610 : x
  2. Step 2: Convert to fraction form
    498,253/773,610 = 773,610/x
  3. Step 3: Cross multiply
    498,253x = 773,610 × 773,610
  4. Step 4: Simplify right side
    498,253x = 598,472,432,100
  5. Step 5: Solve for x
    x = 598,472,432,100/498,253
  6. Step 6: Final answer
    x = 1,201,141.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.