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Finding the Third Proportional to 308,488 and 625,562

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Solution

The third proportional to 308,488 and 625,562 is: 1,268,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,488 : 625,562 = 625,562 : x
  2. Step 2: Convert to fraction form
    308,488/625,562 = 625,562/x
  3. Step 3: Cross multiply
    308,488x = 625,562 × 625,562
  4. Step 4: Simplify right side
    308,488x = 391,327,815,844
  5. Step 5: Solve for x
    x = 391,327,815,844/308,488
  6. Step 6: Final answer
    x = 1,268,534.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.