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Finding the Third Proportional to 417,204.75 and 897,282.38

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Solution

The third proportional to 417,204.75 and 897,282.38 is: 1,929,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,204.75 : 897,282.38 = 897,282.38 : x
  2. Step 2: Convert to fraction form
    417,204.75/897,282.38 = 897,282.38/x
  3. Step 3: Cross multiply
    417,204.75x = 897,282.38 × 897,282.38
  4. Step 4: Simplify right side
    417,204.75x = 805,115,660,485.64
  5. Step 5: Solve for x
    x = 805,115,660,485.64/417,204.75
  6. Step 6: Final answer
    x = 1,929,785.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.