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Finding the Third Proportional to 561,112.88 and 870,616.69

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Solution

The third proportional to 561,112.88 and 870,616.69 is: 1,350,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,112.88 : 870,616.69 = 870,616.69 : x
  2. Step 2: Convert to fraction form
    561,112.88/870,616.69 = 870,616.69/x
  3. Step 3: Cross multiply
    561,112.88x = 870,616.69 × 870,616.69
  4. Step 4: Simplify right side
    561,112.88x = 757,973,416,553.47
  5. Step 5: Solve for x
    x = 757,973,416,553.47/561,112.88
  6. Step 6: Final answer
    x = 1,350,839.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.