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Finding the Third Proportional to 361,174 and 560,015

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Solution

The third proportional to 361,174 and 560,015 is: 868,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,174 : 560,015 = 560,015 : x
  2. Step 2: Convert to fraction form
    361,174/560,015 = 560,015/x
  3. Step 3: Cross multiply
    361,174x = 560,015 × 560,015
  4. Step 4: Simplify right side
    361,174x = 313,616,800,225
  5. Step 5: Solve for x
    x = 313,616,800,225/361,174
  6. Step 6: Final answer
    x = 868,326.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.