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Finding the Third Proportional to 507,446 and 667,413

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Solution

The third proportional to 507,446 and 667,413 is: 877,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,446 : 667,413 = 667,413 : x
  2. Step 2: Convert to fraction form
    507,446/667,413 = 667,413/x
  3. Step 3: Cross multiply
    507,446x = 667,413 × 667,413
  4. Step 4: Simplify right side
    507,446x = 445,440,112,569
  5. Step 5: Solve for x
    x = 445,440,112,569/507,446
  6. Step 6: Final answer
    x = 877,807.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.