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Finding the Third Proportional to 417,207.75 and 897,288.75

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Solution

The third proportional to 417,207.75 and 897,288.75 is: 1,929,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,207.75 : 897,288.75 = 897,288.75 : x
  2. Step 2: Convert to fraction form
    417,207.75/897,288.75 = 897,288.75/x
  3. Step 3: Cross multiply
    417,207.75x = 897,288.75 × 897,288.75
  4. Step 4: Simplify right side
    417,207.75x = 805,127,100,876.56
  5. Step 5: Solve for x
    x = 805,127,100,876.56/417,207.75
  6. Step 6: Final answer
    x = 1,929,799.01

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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.