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Finding the Third Proportional to 361,080.28 and 558,798.75

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Solution

The third proportional to 361,080.28 and 558,798.75 is: 864,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,080.28 : 558,798.75 = 558,798.75 : x
  2. Step 2: Convert to fraction form
    361,080.28/558,798.75 = 558,798.75/x
  3. Step 3: Cross multiply
    361,080.28x = 558,798.75 × 558,798.75
  4. Step 4: Simplify right side
    361,080.28x = 312,256,043,001.56
  5. Step 5: Solve for x
    x = 312,256,043,001.56/361,080.28
  6. Step 6: Final answer
    x = 864,782.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.