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Finding the Third Proportional to 516,105 and 713,163

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Solution

The third proportional to 516,105 and 713,163 is: 985,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,105 : 713,163 = 713,163 : x
  2. Step 2: Convert to fraction form
    516,105/713,163 = 713,163/x
  3. Step 3: Cross multiply
    516,105x = 713,163 × 713,163
  4. Step 4: Simplify right side
    516,105x = 508,601,464,569
  5. Step 5: Solve for x
    x = 508,601,464,569/516,105
  6. Step 6: Final answer
    x = 985,461.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.