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Finding the Third Proportional to 363,177 and 843,952.50

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Solution

The third proportional to 363,177 and 843,952.50 is: 1,961,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,177 : 843,952.50 = 843,952.50 : x
  2. Step 2: Convert to fraction form
    363,177/843,952.50 = 843,952.50/x
  3. Step 3: Cross multiply
    363,177x = 843,952.50 × 843,952.50
  4. Step 4: Simplify right side
    363,177x = 712,255,822,256.25
  5. Step 5: Solve for x
    x = 712,255,822,256.25/363,177
  6. Step 6: Final answer
    x = 1,961,180.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.