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Finding the Third Proportional to 363,696 and 790,341

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Solution

The third proportional to 363,696 and 790,341 is: 1,717,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,696 : 790,341 = 790,341 : x
  2. Step 2: Convert to fraction form
    363,696/790,341 = 790,341/x
  3. Step 3: Cross multiply
    363,696x = 790,341 × 790,341
  4. Step 4: Simplify right side
    363,696x = 624,638,896,281
  5. Step 5: Solve for x
    x = 624,638,896,281/363,696
  6. Step 6: Final answer
    x = 1,717,475.30

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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.