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Finding the Third Proportional to 363,625.50 and 791,343

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Solution

The third proportional to 363,625.50 and 791,343 is: 1,722,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,625.50 : 791,343 = 791,343 : x
  2. Step 2: Convert to fraction form
    363,625.50/791,343 = 791,343/x
  3. Step 3: Cross multiply
    363,625.50x = 791,343 × 791,343
  4. Step 4: Simplify right side
    363,625.50x = 626,223,743,649
  5. Step 5: Solve for x
    x = 626,223,743,649/363,625.50
  6. Step 6: Final answer
    x = 1,722,166.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.