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Finding the Third Proportional to 479,546 and 720,542

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Solution

The third proportional to 479,546 and 720,542 is: 1,082,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,546 : 720,542 = 720,542 : x
  2. Step 2: Convert to fraction form
    479,546/720,542 = 720,542/x
  3. Step 3: Cross multiply
    479,546x = 720,542 × 720,542
  4. Step 4: Simplify right side
    479,546x = 519,180,773,764
  5. Step 5: Solve for x
    x = 519,180,773,764/479,546
  6. Step 6: Final answer
    x = 1,082,650.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.