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Finding the Third Proportional to 363,969 and 790,809.75

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Solution

The third proportional to 363,969 and 790,809.75 is: 1,718,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,969 : 790,809.75 = 790,809.75 : x
  2. Step 2: Convert to fraction form
    363,969/790,809.75 = 790,809.75/x
  3. Step 3: Cross multiply
    363,969x = 790,809.75 × 790,809.75
  4. Step 4: Simplify right side
    363,969x = 625,380,060,695.06
  5. Step 5: Solve for x
    x = 625,380,060,695.06/363,969
  6. Step 6: Final answer
    x = 1,718,223.42

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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.