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Finding the Third Proportional to 524,174 and 717,290

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Solution

The third proportional to 524,174 and 717,290 is: 981,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,174 : 717,290 = 717,290 : x
  2. Step 2: Convert to fraction form
    524,174/717,290 = 717,290/x
  3. Step 3: Cross multiply
    524,174x = 717,290 × 717,290
  4. Step 4: Simplify right side
    524,174x = 514,504,944,100
  5. Step 5: Solve for x
    x = 514,504,944,100/524,174
  6. Step 6: Final answer
    x = 981,553.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.