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Finding the Third Proportional to 363,645 and 777,834

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Solution

The third proportional to 363,645 and 777,834 is: 1,663,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,645 : 777,834 = 777,834 : x
  2. Step 2: Convert to fraction form
    363,645/777,834 = 777,834/x
  3. Step 3: Cross multiply
    363,645x = 777,834 × 777,834
  4. Step 4: Simplify right side
    363,645x = 605,025,731,556
  5. Step 5: Solve for x
    x = 605,025,731,556/363,645
  6. Step 6: Final answer
    x = 1,663,781.25

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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.