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Finding the Third Proportional to 443,445.75 and 972,732.75

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Solution

The third proportional to 443,445.75 and 972,732.75 is: 2,133,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,445.75 : 972,732.75 = 972,732.75 : x
  2. Step 2: Convert to fraction form
    443,445.75/972,732.75 = 972,732.75/x
  3. Step 3: Cross multiply
    443,445.75x = 972,732.75 × 972,732.75
  4. Step 4: Simplify right side
    443,445.75x = 946,209,002,922.56
  5. Step 5: Solve for x
    x = 946,209,002,922.56/443,445.75
  6. Step 6: Final answer
    x = 2,133,764.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.