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Finding the Third Proportional to 516,646 and 814,593

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Solution

The third proportional to 516,646 and 814,593 is: 1,284,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,646 : 814,593 = 814,593 : x
  2. Step 2: Convert to fraction form
    516,646/814,593 = 814,593/x
  3. Step 3: Cross multiply
    516,646x = 814,593 × 814,593
  4. Step 4: Simplify right side
    516,646x = 663,561,755,649
  5. Step 5: Solve for x
    x = 663,561,755,649/516,646
  6. Step 6: Final answer
    x = 1,284,364.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.