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Finding the Third Proportional to 516,024 and 781,812

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Solution

The third proportional to 516,024 and 781,812 is: 1,184,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,024 : 781,812 = 781,812 : x
  2. Step 2: Convert to fraction form
    516,024/781,812 = 781,812/x
  3. Step 3: Cross multiply
    516,024x = 781,812 × 781,812
  4. Step 4: Simplify right side
    516,024x = 611,230,003,344
  5. Step 5: Solve for x
    x = 611,230,003,344/516,024
  6. Step 6: Final answer
    x = 1,184,499.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.