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Finding the Third Proportional to 341,022 and 516,267

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Solution

The third proportional to 341,022 and 516,267 is: 781,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,022 : 516,267 = 516,267 : x
  2. Step 2: Convert to fraction form
    341,022/516,267 = 516,267/x
  3. Step 3: Cross multiply
    341,022x = 516,267 × 516,267
  4. Step 4: Simplify right side
    341,022x = 266,531,615,289
  5. Step 5: Solve for x
    x = 266,531,615,289/341,022
  6. Step 6: Final answer
    x = 781,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.