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Finding the Third Proportional to 361,202 and 558,975

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Solution

The third proportional to 361,202 and 558,975 is: 865,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,202 : 558,975 = 558,975 : x
  2. Step 2: Convert to fraction form
    361,202/558,975 = 558,975/x
  3. Step 3: Cross multiply
    361,202x = 558,975 × 558,975
  4. Step 4: Simplify right side
    361,202x = 312,453,050,625
  5. Step 5: Solve for x
    x = 312,453,050,625/361,202
  6. Step 6: Final answer
    x = 865,036.88

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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.