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Finding the Third Proportional to 317,082 and 660,408

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Solution

The third proportional to 317,082 and 660,408 is: 1,375,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,082 : 660,408 = 660,408 : x
  2. Step 2: Convert to fraction form
    317,082/660,408 = 660,408/x
  3. Step 3: Cross multiply
    317,082x = 660,408 × 660,408
  4. Step 4: Simplify right side
    317,082x = 436,138,726,464
  5. Step 5: Solve for x
    x = 436,138,726,464/317,082
  6. Step 6: Final answer
    x = 1,375,476.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.