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Finding the Third Proportional to 367,468 and 787,422

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Solution

The third proportional to 367,468 and 787,422 is: 1,687,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,468 : 787,422 = 787,422 : x
  2. Step 2: Convert to fraction form
    367,468/787,422 = 787,422/x
  3. Step 3: Cross multiply
    367,468x = 787,422 × 787,422
  4. Step 4: Simplify right side
    367,468x = 620,033,406,084
  5. Step 5: Solve for x
    x = 620,033,406,084/367,468
  6. Step 6: Final answer
    x = 1,687,312.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.