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Finding the Third Proportional to 283,165.50 and 428,865.75

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Solution

The third proportional to 283,165.50 and 428,865.75 is: 649,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,165.50 : 428,865.75 = 428,865.75 : x
  2. Step 2: Convert to fraction form
    283,165.50/428,865.75 = 428,865.75/x
  3. Step 3: Cross multiply
    283,165.50x = 428,865.75 × 428,865.75
  4. Step 4: Simplify right side
    283,165.50x = 183,925,831,523.06
  5. Step 5: Solve for x
    x = 183,925,831,523.06/283,165.50
  6. Step 6: Final answer
    x = 649,534.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.