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Finding the Third Proportional to 295,724.04 and 443,084.87

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Solution

The third proportional to 295,724.04 and 443,084.87 is: 663,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,724.04 : 443,084.87 = 443,084.87 : x
  2. Step 2: Convert to fraction form
    295,724.04/443,084.87 = 443,084.87/x
  3. Step 3: Cross multiply
    295,724.04x = 443,084.87 × 443,084.87
  4. Step 4: Simplify right side
    295,724.04x = 196,324,202,992.17
  5. Step 5: Solve for x
    x = 196,324,202,992.17/295,724.04
  6. Step 6: Final answer
    x = 663,876.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.