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Finding the Third Proportional to 516,711 and 759,756

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Solution

The third proportional to 516,711 and 759,756 is: 1,117,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,711 : 759,756 = 759,756 : x
  2. Step 2: Convert to fraction form
    516,711/759,756 = 759,756/x
  3. Step 3: Cross multiply
    516,711x = 759,756 × 759,756
  4. Step 4: Simplify right side
    516,711x = 577,229,179,536
  5. Step 5: Solve for x
    x = 577,229,179,536/516,711
  6. Step 6: Final answer
    x = 1,117,121.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.