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Finding the Third Proportional to 444,109.50 and 658,509.75

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Solution

The third proportional to 444,109.50 and 658,509.75 is: 976,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,109.50 : 658,509.75 = 658,509.75 : x
  2. Step 2: Convert to fraction form
    444,109.50/658,509.75 = 658,509.75/x
  3. Step 3: Cross multiply
    444,109.50x = 658,509.75 × 658,509.75
  4. Step 4: Simplify right side
    444,109.50x = 433,635,090,845.06
  5. Step 5: Solve for x
    x = 433,635,090,845.06/444,109.50
  6. Step 6: Final answer
    x = 976,414.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.