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Finding the Third Proportional to 479,466 and 727,947

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Solution

The third proportional to 479,466 and 727,947 is: 1,105,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,466 : 727,947 = 727,947 : x
  2. Step 2: Convert to fraction form
    479,466/727,947 = 727,947/x
  3. Step 3: Cross multiply
    479,466x = 727,947 × 727,947
  4. Step 4: Simplify right side
    479,466x = 529,906,834,809
  5. Step 5: Solve for x
    x = 529,906,834,809/479,466
  6. Step 6: Final answer
    x = 1,105,202.11

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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.