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Finding the Third Proportional to 361,175 and 560,022

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Solution

The third proportional to 361,175 and 560,022 is: 868,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,175 : 560,022 = 560,022 : x
  2. Step 2: Convert to fraction form
    361,175/560,022 = 560,022/x
  3. Step 3: Cross multiply
    361,175x = 560,022 × 560,022
  4. Step 4: Simplify right side
    361,175x = 313,624,640,484
  5. Step 5: Solve for x
    x = 313,624,640,484/361,175
  6. Step 6: Final answer
    x = 868,345.37

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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.