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Finding the Third Proportional to 363,955.50 and 790,786.13

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Solution

The third proportional to 363,955.50 and 790,786.13 is: 1,718,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,955.50 : 790,786.13 = 790,786.13 : x
  2. Step 2: Convert to fraction form
    363,955.50/790,786.13 = 790,786.13/x
  3. Step 3: Cross multiply
    363,955.50x = 790,786.13 × 790,786.13
  4. Step 4: Simplify right side
    363,955.50x = 625,342,695,492.52
  5. Step 5: Solve for x
    x = 625,342,695,492.52/363,955.50
  6. Step 6: Final answer
    x = 1,718,184.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.