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Finding the Third Proportional to 363,079.97 and 767,712.94

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Solution

The third proportional to 363,079.97 and 767,712.94 is: 1,623,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,079.97 : 767,712.94 = 767,712.94 : x
  2. Step 2: Convert to fraction form
    363,079.97/767,712.94 = 767,712.94/x
  3. Step 3: Cross multiply
    363,079.97x = 767,712.94 × 767,712.94
  4. Step 4: Simplify right side
    363,079.97x = 589,383,154,404.88
  5. Step 5: Solve for x
    x = 589,383,154,404.88/363,079.97
  6. Step 6: Final answer
    x = 1,623,287.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.