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Finding the Third Proportional to 341,439 and 516,853.50

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Solution

The third proportional to 341,439 and 516,853.50 is: 782,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,439 : 516,853.50 = 516,853.50 : x
  2. Step 2: Convert to fraction form
    341,439/516,853.50 = 516,853.50/x
  3. Step 3: Cross multiply
    341,439x = 516,853.50 × 516,853.50
  4. Step 4: Simplify right side
    341,439x = 267,137,540,462.25
  5. Step 5: Solve for x
    x = 267,137,540,462.25/341,439
  6. Step 6: Final answer
    x = 782,387.31

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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.