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Finding the Third Proportional to 516,134 and 759,013

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Solution

The third proportional to 516,134 and 759,013 is: 1,116,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,134 : 759,013 = 759,013 : x
  2. Step 2: Convert to fraction form
    516,134/759,013 = 759,013/x
  3. Step 3: Cross multiply
    516,134x = 759,013 × 759,013
  4. Step 4: Simplify right side
    516,134x = 576,100,734,169
  5. Step 5: Solve for x
    x = 576,100,734,169/516,134
  6. Step 6: Final answer
    x = 1,116,184.43

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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.