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Finding the Third Proportional to 425,423 and 667,457

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Solution

The third proportional to 425,423 and 667,457 is: 1,047,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,423 : 667,457 = 667,457 : x
  2. Step 2: Convert to fraction form
    425,423/667,457 = 667,457/x
  3. Step 3: Cross multiply
    425,423x = 667,457 × 667,457
  4. Step 4: Simplify right side
    425,423x = 445,498,846,849
  5. Step 5: Solve for x
    x = 445,498,846,849/425,423
  6. Step 6: Final answer
    x = 1,047,190.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.