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Finding the Third Proportional to 367,056 and 516,884

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Solution

The third proportional to 367,056 and 516,884 is: 727,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 516,884 = 516,884 : x
  2. Step 2: Convert to fraction form
    367,056/516,884 = 516,884/x
  3. Step 3: Cross multiply
    367,056x = 516,884 × 516,884
  4. Step 4: Simplify right side
    367,056x = 267,169,069,456
  5. Step 5: Solve for x
    x = 267,169,069,456/367,056
  6. Step 6: Final answer
    x = 727,870.05

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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.