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Finding the Third Proportional to 516,118 and 758,996

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Solution

The third proportional to 516,118 and 758,996 is: 1,116,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,118 : 758,996 = 758,996 : x
  2. Step 2: Convert to fraction form
    516,118/758,996 = 758,996/x
  3. Step 3: Cross multiply
    516,118x = 758,996 × 758,996
  4. Step 4: Simplify right side
    516,118x = 576,074,928,016
  5. Step 5: Solve for x
    x = 576,074,928,016/516,118
  6. Step 6: Final answer
    x = 1,116,169.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.