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Finding the Third Proportional to 516.59 and 1,124.30

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Solution

The third proportional to 516.59 and 1,124.30 is: 2,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.59 : 1,124.30 = 1,124.30 : x
  2. Step 2: Convert to fraction form
    516.59/1,124.30 = 1,124.30/x
  3. Step 3: Cross multiply
    516.59x = 1,124.30 × 1,124.30
  4. Step 4: Simplify right side
    516.59x = 1,264,043.46
  5. Step 5: Solve for x
    x = 1,264,043.46/516.59
  6. Step 6: Final answer
    x = 2,446.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.