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Finding the Third Proportional to 265,794.75 and 408,535.88

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Solution

The third proportional to 265,794.75 and 408,535.88 is: 627,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,794.75 : 408,535.88 = 408,535.88 : x
  2. Step 2: Convert to fraction form
    265,794.75/408,535.88 = 408,535.88/x
  3. Step 3: Cross multiply
    265,794.75x = 408,535.88 × 408,535.88
  4. Step 4: Simplify right side
    265,794.75x = 166,901,561,162.02
  5. Step 5: Solve for x
    x = 166,901,561,162.02/265,794.75
  6. Step 6: Final answer
    x = 627,934.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.