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Finding the Third Proportional to 467,525 and 661,543

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Solution

The third proportional to 467,525 and 661,543 is: 936,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,525 : 661,543 = 661,543 : x
  2. Step 2: Convert to fraction form
    467,525/661,543 = 661,543/x
  3. Step 3: Cross multiply
    467,525x = 661,543 × 661,543
  4. Step 4: Simplify right side
    467,525x = 437,639,140,849
  5. Step 5: Solve for x
    x = 437,639,140,849/467,525
  6. Step 6: Final answer
    x = 936,076.45

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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.