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Finding the Third Proportional to 516,099 and 713,154.75

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Solution

The third proportional to 516,099 and 713,154.75 is: 985,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,099 : 713,154.75 = 713,154.75 : x
  2. Step 2: Convert to fraction form
    516,099/713,154.75 = 713,154.75/x
  3. Step 3: Cross multiply
    516,099x = 713,154.75 × 713,154.75
  4. Step 4: Simplify right side
    516,099x = 508,589,697,447.56
  5. Step 5: Solve for x
    x = 508,589,697,447.56/516,099
  6. Step 6: Final answer
    x = 985,449.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.