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Finding the Third Proportional to 363,138 and 797,946

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Solution

The third proportional to 363,138 and 797,946 is: 1,753,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,138 : 797,946 = 797,946 : x
  2. Step 2: Convert to fraction form
    363,138/797,946 = 797,946/x
  3. Step 3: Cross multiply
    363,138x = 797,946 × 797,946
  4. Step 4: Simplify right side
    363,138x = 636,717,818,916
  5. Step 5: Solve for x
    x = 636,717,818,916/363,138
  6. Step 6: Final answer
    x = 1,753,377.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.