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Finding the Third Proportional to 361,176 and 560,018

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Solution

The third proportional to 361,176 and 560,018 is: 868,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,176 : 560,018 = 560,018 : x
  2. Step 2: Convert to fraction form
    361,176/560,018 = 560,018/x
  3. Step 3: Cross multiply
    361,176x = 560,018 × 560,018
  4. Step 4: Simplify right side
    361,176x = 313,620,160,324
  5. Step 5: Solve for x
    x = 313,620,160,324/361,176
  6. Step 6: Final answer
    x = 868,330.57

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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.