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Finding the Third Proportional to 367,370 and 567,424

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Solution

The third proportional to 367,370 and 567,424 is: 876,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,370 : 567,424 = 567,424 : x
  2. Step 2: Convert to fraction form
    367,370/567,424 = 567,424/x
  3. Step 3: Cross multiply
    367,370x = 567,424 × 567,424
  4. Step 4: Simplify right side
    367,370x = 321,969,995,776
  5. Step 5: Solve for x
    x = 321,969,995,776/367,370
  6. Step 6: Final answer
    x = 876,418.86

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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.