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Finding the Third Proportional to 363,636 and 791,361

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Solution

The third proportional to 363,636 and 791,361 is: 1,722,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,636 : 791,361 = 791,361 : x
  2. Step 2: Convert to fraction form
    363,636/791,361 = 791,361/x
  3. Step 3: Cross multiply
    363,636x = 791,361 × 791,361
  4. Step 4: Simplify right side
    363,636x = 626,252,232,321
  5. Step 5: Solve for x
    x = 626,252,232,321/363,636
  6. Step 6: Final answer
    x = 1,722,195.36

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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.