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Finding the Third Proportional to 283,250.67 and 615,401.30

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Solution

The third proportional to 283,250.67 and 615,401.30 is: 1,337,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,250.67 : 615,401.30 = 615,401.30 : x
  2. Step 2: Convert to fraction form
    283,250.67/615,401.30 = 615,401.30/x
  3. Step 3: Cross multiply
    283,250.67x = 615,401.30 × 615,401.30
  4. Step 4: Simplify right side
    283,250.67x = 378,718,756,195.43
  5. Step 5: Solve for x
    x = 378,718,756,195.43/283,250.67
  6. Step 6: Final answer
    x = 1,337,044.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.