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Finding the Third Proportional to 427,470 and 667,084

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Solution

The third proportional to 427,470 and 667,084 is: 1,041,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,470 : 667,084 = 667,084 : x
  2. Step 2: Convert to fraction form
    427,470/667,084 = 667,084/x
  3. Step 3: Cross multiply
    427,470x = 667,084 × 667,084
  4. Step 4: Simplify right side
    427,470x = 445,001,063,056
  5. Step 5: Solve for x
    x = 445,001,063,056/427,470
  6. Step 6: Final answer
    x = 1,041,011.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.