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Finding the Third Proportional to 311,662.13 and 483,531.75

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Solution

The third proportional to 311,662.13 and 483,531.75 is: 750,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,662.13 : 483,531.75 = 483,531.75 : x
  2. Step 2: Convert to fraction form
    311,662.13/483,531.75 = 483,531.75/x
  3. Step 3: Cross multiply
    311,662.13x = 483,531.75 × 483,531.75
  4. Step 4: Simplify right side
    311,662.13x = 233,802,953,258.06
  5. Step 5: Solve for x
    x = 233,802,953,258.06/311,662.13
  6. Step 6: Final answer
    x = 750,180.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.