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Finding the Third Proportional to 567,630 and 872,747

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Solution

The third proportional to 567,630 and 872,747 is: 1,341,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,630 : 872,747 = 872,747 : x
  2. Step 2: Convert to fraction form
    567,630/872,747 = 872,747/x
  3. Step 3: Cross multiply
    567,630x = 872,747 × 872,747
  4. Step 4: Simplify right side
    567,630x = 761,687,326,009
  5. Step 5: Solve for x
    x = 761,687,326,009/567,630
  6. Step 6: Final answer
    x = 1,341,872.92

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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.