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Finding the Third Proportional to 363,621 and 777,786

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Solution

The third proportional to 363,621 and 777,786 is: 1,663,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,621 : 777,786 = 777,786 : x
  2. Step 2: Convert to fraction form
    363,621/777,786 = 777,786/x
  3. Step 3: Cross multiply
    363,621x = 777,786 × 777,786
  4. Step 4: Simplify right side
    363,621x = 604,951,061,796
  5. Step 5: Solve for x
    x = 604,951,061,796/363,621
  6. Step 6: Final answer
    x = 1,663,685.71

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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.