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Finding the Third Proportional to 254,567 and 502,708

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Solution

The third proportional to 254,567 and 502,708 is: 992,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,567 : 502,708 = 502,708 : x
  2. Step 2: Convert to fraction form
    254,567/502,708 = 502,708/x
  3. Step 3: Cross multiply
    254,567x = 502,708 × 502,708
  4. Step 4: Simplify right side
    254,567x = 252,715,333,264
  5. Step 5: Solve for x
    x = 252,715,333,264/254,567
  6. Step 6: Final answer
    x = 992,726.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.