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Finding the Third Proportional to 467,532 and 661,554

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Solution

The third proportional to 467,532 and 661,554 is: 936,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,532 : 661,554 = 661,554 : x
  2. Step 2: Convert to fraction form
    467,532/661,554 = 661,554/x
  3. Step 3: Cross multiply
    467,532x = 661,554 × 661,554
  4. Step 4: Simplify right side
    467,532x = 437,653,694,916
  5. Step 5: Solve for x
    x = 437,653,694,916/467,532
  6. Step 6: Final answer
    x = 936,093.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.