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Finding the Third Proportional to 458,706 and 694,979

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Solution

The third proportional to 458,706 and 694,979 is: 1,052,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,706 : 694,979 = 694,979 : x
  2. Step 2: Convert to fraction form
    458,706/694,979 = 694,979/x
  3. Step 3: Cross multiply
    458,706x = 694,979 × 694,979
  4. Step 4: Simplify right side
    458,706x = 482,995,810,441
  5. Step 5: Solve for x
    x = 482,995,810,441/458,706
  6. Step 6: Final answer
    x = 1,052,952.89

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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.