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Finding the Third Proportional to 514,472 and 733,874

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Solution

The third proportional to 514,472 and 733,874 is: 1,046,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,472 : 733,874 = 733,874 : x
  2. Step 2: Convert to fraction form
    514,472/733,874 = 733,874/x
  3. Step 3: Cross multiply
    514,472x = 733,874 × 733,874
  4. Step 4: Simplify right side
    514,472x = 538,571,047,876
  5. Step 5: Solve for x
    x = 538,571,047,876/514,472
  6. Step 6: Final answer
    x = 1,046,842.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.