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Finding the Third Proportional to 362,808 and 748,902

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Solution

The third proportional to 362,808 and 748,902 is: 1,545,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,808 : 748,902 = 748,902 : x
  2. Step 2: Convert to fraction form
    362,808/748,902 = 748,902/x
  3. Step 3: Cross multiply
    362,808x = 748,902 × 748,902
  4. Step 4: Simplify right side
    362,808x = 560,854,205,604
  5. Step 5: Solve for x
    x = 560,854,205,604/362,808
  6. Step 6: Final answer
    x = 1,545,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.