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Finding the Third Proportional to 361,172 and 560,012

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Solution

The third proportional to 361,172 and 560,012 is: 868,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,172 : 560,012 = 560,012 : x
  2. Step 2: Convert to fraction form
    361,172/560,012 = 560,012/x
  3. Step 3: Cross multiply
    361,172x = 560,012 × 560,012
  4. Step 4: Simplify right side
    361,172x = 313,613,440,144
  5. Step 5: Solve for x
    x = 313,613,440,144/361,172
  6. Step 6: Final answer
    x = 868,321.58

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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.