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Finding the Third Proportional to 498,968 and 766,902

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Solution

The third proportional to 498,968 and 766,902 is: 1,178,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,968 : 766,902 = 766,902 : x
  2. Step 2: Convert to fraction form
    498,968/766,902 = 766,902/x
  3. Step 3: Cross multiply
    498,968x = 766,902 × 766,902
  4. Step 4: Simplify right side
    498,968x = 588,138,677,604
  5. Step 5: Solve for x
    x = 588,138,677,604/498,968
  6. Step 6: Final answer
    x = 1,178,710.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.