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Finding the Third Proportional to 319,149 and 472,561

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Solution

The third proportional to 319,149 and 472,561 is: 699,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,149 : 472,561 = 472,561 : x
  2. Step 2: Convert to fraction form
    319,149/472,561 = 472,561/x
  3. Step 3: Cross multiply
    319,149x = 472,561 × 472,561
  4. Step 4: Simplify right side
    319,149x = 223,313,898,721
  5. Step 5: Solve for x
    x = 223,313,898,721/319,149
  6. Step 6: Final answer
    x = 699,716.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.