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Finding the Third Proportional to 363,725 and 790,408

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Solution

The third proportional to 363,725 and 790,408 is: 1,717,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,725 : 790,408 = 790,408 : x
  2. Step 2: Convert to fraction form
    363,725/790,408 = 790,408/x
  3. Step 3: Cross multiply
    363,725x = 790,408 × 790,408
  4. Step 4: Simplify right side
    363,725x = 624,744,806,464
  5. Step 5: Solve for x
    x = 624,744,806,464/363,725
  6. Step 6: Final answer
    x = 1,717,629.55

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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.