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Finding the Third Proportional to 516,679.50 and 814,638

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Solution

The third proportional to 516,679.50 and 814,638 is: 1,284,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,679.50 : 814,638 = 814,638 : x
  2. Step 2: Convert to fraction form
    516,679.50/814,638 = 814,638/x
  3. Step 3: Cross multiply
    516,679.50x = 814,638 × 814,638
  4. Step 4: Simplify right side
    516,679.50x = 663,635,071,044
  5. Step 5: Solve for x
    x = 663,635,071,044/516,679.50
  6. Step 6: Final answer
    x = 1,284,423.07

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