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Finding the Third Proportional to 514,869 and 797,217

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Solution

The third proportional to 514,869 and 797,217 is: 1,234,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,869 : 797,217 = 797,217 : x
  2. Step 2: Convert to fraction form
    514,869/797,217 = 797,217/x
  3. Step 3: Cross multiply
    514,869x = 797,217 × 797,217
  4. Step 4: Simplify right side
    514,869x = 635,554,945,089
  5. Step 5: Solve for x
    x = 635,554,945,089/514,869
  6. Step 6: Final answer
    x = 1,234,401.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.