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Finding the Third Proportional to 521,877 and 806,391

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Solution

The third proportional to 521,877 and 806,391 is: 1,246,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,877 : 806,391 = 806,391 : x
  2. Step 2: Convert to fraction form
    521,877/806,391 = 806,391/x
  3. Step 3: Cross multiply
    521,877x = 806,391 × 806,391
  4. Step 4: Simplify right side
    521,877x = 650,266,444,881
  5. Step 5: Solve for x
    x = 650,266,444,881/521,877
  6. Step 6: Final answer
    x = 1,246,014.76

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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.