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Finding the Third Proportional to 477,243 and 667,569

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Solution

The third proportional to 477,243 and 667,569 is: 933,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,243 : 667,569 = 667,569 : x
  2. Step 2: Convert to fraction form
    477,243/667,569 = 667,569/x
  3. Step 3: Cross multiply
    477,243x = 667,569 × 667,569
  4. Step 4: Simplify right side
    477,243x = 445,648,369,761
  5. Step 5: Solve for x
    x = 445,648,369,761/477,243
  6. Step 6: Final answer
    x = 933,797.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.