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Finding the Third Proportional to 363,512 and 794,416

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Solution

The third proportional to 363,512 and 794,416 is: 1,736,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,512 : 794,416 = 794,416 : x
  2. Step 2: Convert to fraction form
    363,512/794,416 = 794,416/x
  3. Step 3: Cross multiply
    363,512x = 794,416 × 794,416
  4. Step 4: Simplify right side
    363,512x = 631,096,781,056
  5. Step 5: Solve for x
    x = 631,096,781,056/363,512
  6. Step 6: Final answer
    x = 1,736,109.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.