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Finding the Third Proportional to 466,211 and 707,909

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Solution

The third proportional to 466,211 and 707,909 is: 1,074,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,211 : 707,909 = 707,909 : x
  2. Step 2: Convert to fraction form
    466,211/707,909 = 707,909/x
  3. Step 3: Cross multiply
    466,211x = 707,909 × 707,909
  4. Step 4: Simplify right side
    466,211x = 501,135,152,281
  5. Step 5: Solve for x
    x = 501,135,152,281/466,211
  6. Step 6: Final answer
    x = 1,074,910.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.