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Finding the Third Proportional to 458,616 and 694,860

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Solution

The third proportional to 458,616 and 694,860 is: 1,052,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,616 : 694,860 = 694,860 : x
  2. Step 2: Convert to fraction form
    458,616/694,860 = 694,860/x
  3. Step 3: Cross multiply
    458,616x = 694,860 × 694,860
  4. Step 4: Simplify right side
    458,616x = 482,830,419,600
  5. Step 5: Solve for x
    x = 482,830,419,600/458,616
  6. Step 6: Final answer
    x = 1,052,798.90

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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.