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Finding the Third Proportional to 498,860 and 760,745

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Solution

The third proportional to 498,860 and 760,745 is: 1,160,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,860 : 760,745 = 760,745 : x
  2. Step 2: Convert to fraction form
    498,860/760,745 = 760,745/x
  3. Step 3: Cross multiply
    498,860x = 760,745 × 760,745
  4. Step 4: Simplify right side
    498,860x = 578,732,955,025
  5. Step 5: Solve for x
    x = 578,732,955,025/498,860
  6. Step 6: Final answer
    x = 1,160,110.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.