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Finding the Third Proportional to 288,258.75 and 410,634.56

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Solution

The third proportional to 288,258.75 and 410,634.56 is: 584,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,258.75 : 410,634.56 = 410,634.56 : x
  2. Step 2: Convert to fraction form
    288,258.75/410,634.56 = 410,634.56/x
  3. Step 3: Cross multiply
    288,258.75x = 410,634.56 × 410,634.56
  4. Step 4: Simplify right side
    288,258.75x = 168,620,743,919.57
  5. Step 5: Solve for x
    x = 168,620,743,919.57/288,258.75
  6. Step 6: Final answer
    x = 584,963.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.