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Finding the Third Proportional to 363,625 and 777,794

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Solution

The third proportional to 363,625 and 777,794 is: 1,663,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,625 : 777,794 = 777,794 : x
  2. Step 2: Convert to fraction form
    363,625/777,794 = 777,794/x
  3. Step 3: Cross multiply
    363,625x = 777,794 × 777,794
  4. Step 4: Simplify right side
    363,625x = 604,963,506,436
  5. Step 5: Solve for x
    x = 604,963,506,436/363,625
  6. Step 6: Final answer
    x = 1,663,701.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.