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Finding the Third Proportional to 361,177 and 560,025

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Solution

The third proportional to 361,177 and 560,025 is: 868,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,177 : 560,025 = 560,025 : x
  2. Step 2: Convert to fraction form
    361,177/560,025 = 560,025/x
  3. Step 3: Cross multiply
    361,177x = 560,025 × 560,025
  4. Step 4: Simplify right side
    361,177x = 313,628,000,625
  5. Step 5: Solve for x
    x = 313,628,000,625/361,177
  6. Step 6: Final answer
    x = 868,349.87

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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.