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Finding the Third Proportional to 363,180 and 798,024

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Solution

The third proportional to 363,180 and 798,024 is: 1,753,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,180 : 798,024 = 798,024 : x
  2. Step 2: Convert to fraction form
    363,180/798,024 = 798,024/x
  3. Step 3: Cross multiply
    363,180x = 798,024 × 798,024
  4. Step 4: Simplify right side
    363,180x = 636,842,304,576
  5. Step 5: Solve for x
    x = 636,842,304,576/363,180
  6. Step 6: Final answer
    x = 1,753,517.00

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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.