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Finding the Third Proportional to 239,723 and 516,807

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Solution

The third proportional to 239,723 and 516,807 is: 1,114,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,723 : 516,807 = 516,807 : x
  2. Step 2: Convert to fraction form
    239,723/516,807 = 516,807/x
  3. Step 3: Cross multiply
    239,723x = 516,807 × 516,807
  4. Step 4: Simplify right side
    239,723x = 267,089,475,249
  5. Step 5: Solve for x
    x = 267,089,475,249/239,723
  6. Step 6: Final answer
    x = 1,114,158.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.