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Finding the Third Proportional to 241,760 and 516,784

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Solution

The third proportional to 241,760 and 516,784 is: 1,104,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,760 : 516,784 = 516,784 : x
  2. Step 2: Convert to fraction form
    241,760/516,784 = 516,784/x
  3. Step 3: Cross multiply
    241,760x = 516,784 × 516,784
  4. Step 4: Simplify right side
    241,760x = 267,065,702,656
  5. Step 5: Solve for x
    x = 267,065,702,656/241,760
  6. Step 6: Final answer
    x = 1,104,672.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.