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Finding the Third Proportional to 361,173 and 560,019

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Solution

The third proportional to 361,173 and 560,019 is: 868,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,173 : 560,019 = 560,019 : x
  2. Step 2: Convert to fraction form
    361,173/560,019 = 560,019/x
  3. Step 3: Cross multiply
    361,173x = 560,019 × 560,019
  4. Step 4: Simplify right side
    361,173x = 313,621,280,361
  5. Step 5: Solve for x
    x = 313,621,280,361/361,173
  6. Step 6: Final answer
    x = 868,340.88

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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.