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Finding the Third Proportional to 211,472 and 457,792

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Solution

The third proportional to 211,472 and 457,792 is: 991,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472 : 457,792 = 457,792 : x
  2. Step 2: Convert to fraction form
    211,472/457,792 = 457,792/x
  3. Step 3: Cross multiply
    211,472x = 457,792 × 457,792
  4. Step 4: Simplify right side
    211,472x = 209,573,515,264
  5. Step 5: Solve for x
    x = 209,573,515,264/211,472
  6. Step 6: Final answer
    x = 991,022.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.