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Finding the Third Proportional to 367,363 and 567,414

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Solution

The third proportional to 367,363 and 567,414 is: 876,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,363 : 567,414 = 567,414 : x
  2. Step 2: Convert to fraction form
    367,363/567,414 = 567,414/x
  3. Step 3: Cross multiply
    367,363x = 567,414 × 567,414
  4. Step 4: Simplify right side
    367,363x = 321,958,647,396
  5. Step 5: Solve for x
    x = 321,958,647,396/367,363
  6. Step 6: Final answer
    x = 876,404.67

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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.