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Finding the Third Proportional to 363,255.75 and 566,959.50

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Solution

The third proportional to 363,255.75 and 566,959.50 is: 884,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,255.75 : 566,959.50 = 566,959.50 : x
  2. Step 2: Convert to fraction form
    363,255.75/566,959.50 = 566,959.50/x
  3. Step 3: Cross multiply
    363,255.75x = 566,959.50 × 566,959.50
  4. Step 4: Simplify right side
    363,255.75x = 321,443,074,640.25
  5. Step 5: Solve for x
    x = 321,443,074,640.25/363,255.75
  6. Step 6: Final answer
    x = 884,894.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.