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Finding the Third Proportional to 363,654 and 777,852

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Solution

The third proportional to 363,654 and 777,852 is: 1,663,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,654 : 777,852 = 777,852 : x
  2. Step 2: Convert to fraction form
    363,654/777,852 = 777,852/x
  3. Step 3: Cross multiply
    363,654x = 777,852 × 777,852
  4. Step 4: Simplify right side
    363,654x = 605,053,733,904
  5. Step 5: Solve for x
    x = 605,053,733,904/363,654
  6. Step 6: Final answer
    x = 1,663,817.07

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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.