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Finding the Third Proportional to 285,850 and 625,016

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Solution

The third proportional to 285,850 and 625,016 is: 1,366,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,850 : 625,016 = 625,016 : x
  2. Step 2: Convert to fraction form
    285,850/625,016 = 625,016/x
  3. Step 3: Cross multiply
    285,850x = 625,016 × 625,016
  4. Step 4: Simplify right side
    285,850x = 390,645,000,256
  5. Step 5: Solve for x
    x = 390,645,000,256/285,850
  6. Step 6: Final answer
    x = 1,366,608.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.