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Finding the Third Proportional to 367,095 and 516,959

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Solution

The third proportional to 367,095 and 516,959 is: 728,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,095 : 516,959 = 516,959 : x
  2. Step 2: Convert to fraction form
    367,095/516,959 = 516,959/x
  3. Step 3: Cross multiply
    367,095x = 516,959 × 516,959
  4. Step 4: Simplify right side
    367,095x = 267,246,607,681
  5. Step 5: Solve for x
    x = 267,246,607,681/367,095
  6. Step 6: Final answer
    x = 728,003.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.