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Finding the Third Proportional to 300,087.75 and 464,508.38

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Solution

The third proportional to 300,087.75 and 464,508.38 is: 719,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,087.75 : 464,508.38 = 464,508.38 : x
  2. Step 2: Convert to fraction form
    300,087.75/464,508.38 = 464,508.38/x
  3. Step 3: Cross multiply
    300,087.75x = 464,508.38 × 464,508.38
  4. Step 4: Simplify right side
    300,087.75x = 215,768,030,445.14
  5. Step 5: Solve for x
    x = 215,768,030,445.14/300,087.75
  6. Step 6: Final answer
    x = 719,016.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.