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Finding the Third Proportional to 474,384 and 738,792

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Solution

The third proportional to 474,384 and 738,792 is: 1,150,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,384 : 738,792 = 738,792 : x
  2. Step 2: Convert to fraction form
    474,384/738,792 = 738,792/x
  3. Step 3: Cross multiply
    474,384x = 738,792 × 738,792
  4. Step 4: Simplify right side
    474,384x = 545,813,619,264
  5. Step 5: Solve for x
    x = 545,813,619,264/474,384
  6. Step 6: Final answer
    x = 1,150,573.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.