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Finding the Third Proportional to 447,084 and 676,404

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Solution

The third proportional to 447,084 and 676,404 is: 1,023,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,084 : 676,404 = 676,404 : x
  2. Step 2: Convert to fraction form
    447,084/676,404 = 676,404/x
  3. Step 3: Cross multiply
    447,084x = 676,404 × 676,404
  4. Step 4: Simplify right side
    447,084x = 457,522,371,216
  5. Step 5: Solve for x
    x = 457,522,371,216/447,084
  6. Step 6: Final answer
    x = 1,023,347.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.