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Finding the Third Proportional to 341,216 and 516,524

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Solution

The third proportional to 341,216 and 516,524 is: 781,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,216 : 516,524 = 516,524 : x
  2. Step 2: Convert to fraction form
    341,216/516,524 = 516,524/x
  3. Step 3: Cross multiply
    341,216x = 516,524 × 516,524
  4. Step 4: Simplify right side
    341,216x = 266,797,042,576
  5. Step 5: Solve for x
    x = 266,797,042,576/341,216
  6. Step 6: Final answer
    x = 781,900.74

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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.