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Finding the Third Proportional to 414,952 and 658,720

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Solution

The third proportional to 414,952 and 658,720 is: 1,045,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,952 : 658,720 = 658,720 : x
  2. Step 2: Convert to fraction form
    414,952/658,720 = 658,720/x
  3. Step 3: Cross multiply
    414,952x = 658,720 × 658,720
  4. Step 4: Simplify right side
    414,952x = 433,912,038,400
  5. Step 5: Solve for x
    x = 433,912,038,400/414,952
  6. Step 6: Final answer
    x = 1,045,692.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.