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Finding the Third Proportional to 235,065 and 516,786

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Solution

The third proportional to 235,065 and 516,786 is: 1,136,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,065 : 516,786 = 516,786 : x
  2. Step 2: Convert to fraction form
    235,065/516,786 = 516,786/x
  3. Step 3: Cross multiply
    235,065x = 516,786 × 516,786
  4. Step 4: Simplify right side
    235,065x = 267,067,769,796
  5. Step 5: Solve for x
    x = 267,067,769,796/235,065
  6. Step 6: Final answer
    x = 1,136,144.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.