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Finding the Third Proportional to 443,441.25 and 972,721.13

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Solution

The third proportional to 443,441.25 and 972,721.13 is: 2,133,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,441.25 : 972,721.13 = 972,721.13 : x
  2. Step 2: Convert to fraction form
    443,441.25/972,721.13 = 972,721.13/x
  3. Step 3: Cross multiply
    443,441.25x = 972,721.13 × 972,721.13
  4. Step 4: Simplify right side
    443,441.25x = 946,186,387,021.27
  5. Step 5: Solve for x
    x = 946,186,387,021.27/443,441.25
  6. Step 6: Final answer
    x = 2,133,735.61

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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.