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Finding the Third Proportional to 414,598.50 and 870,972.75

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Solution

The third proportional to 414,598.50 and 870,972.75 is: 1,829,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,598.50 : 870,972.75 = 870,972.75 : x
  2. Step 2: Convert to fraction form
    414,598.50/870,972.75 = 870,972.75/x
  3. Step 3: Cross multiply
    414,598.50x = 870,972.75 × 870,972.75
  4. Step 4: Simplify right side
    414,598.50x = 758,593,531,242.56
  5. Step 5: Solve for x
    x = 758,593,531,242.56/414,598.50
  6. Step 6: Final answer
    x = 1,829,706.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.