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Finding the Third Proportional to 275,472 and 425,358

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Solution

The third proportional to 275,472 and 425,358 is: 656,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,472 : 425,358 = 425,358 : x
  2. Step 2: Convert to fraction form
    275,472/425,358 = 425,358/x
  3. Step 3: Cross multiply
    275,472x = 425,358 × 425,358
  4. Step 4: Simplify right side
    275,472x = 180,929,428,164
  5. Step 5: Solve for x
    x = 180,929,428,164/275,472
  6. Step 6: Final answer
    x = 656,797.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.