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Finding the Third Proportional to 459,012 and 661,110

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Solution

The third proportional to 459,012 and 661,110 is: 952,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,012 : 661,110 = 661,110 : x
  2. Step 2: Convert to fraction form
    459,012/661,110 = 661,110/x
  3. Step 3: Cross multiply
    459,012x = 661,110 × 661,110
  4. Step 4: Simplify right side
    459,012x = 437,066,432,100
  5. Step 5: Solve for x
    x = 437,066,432,100/459,012
  6. Step 6: Final answer
    x = 952,189.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.