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Finding the Third Proportional to 466,210 and 707,907

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Solution

The third proportional to 466,210 and 707,907 is: 1,074,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,210 : 707,907 = 707,907 : x
  2. Step 2: Convert to fraction form
    466,210/707,907 = 707,907/x
  3. Step 3: Cross multiply
    466,210x = 707,907 × 707,907
  4. Step 4: Simplify right side
    466,210x = 501,132,320,649
  5. Step 5: Solve for x
    x = 501,132,320,649/466,210
  6. Step 6: Final answer
    x = 1,074,906.85

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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.