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Finding the Third Proportional to 265,249 and 516,962

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Solution

The third proportional to 265,249 and 516,962 is: 1,007,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,249 : 516,962 = 516,962 : x
  2. Step 2: Convert to fraction form
    265,249/516,962 = 516,962/x
  3. Step 3: Cross multiply
    265,249x = 516,962 × 516,962
  4. Step 4: Simplify right side
    265,249x = 267,249,709,444
  5. Step 5: Solve for x
    x = 267,249,709,444/265,249
  6. Step 6: Final answer
    x = 1,007,542.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.