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Finding the Third Proportional to 483,720 and 762,687.75

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Solution

The third proportional to 483,720 and 762,687.75 is: 1,202,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,720 : 762,687.75 = 762,687.75 : x
  2. Step 2: Convert to fraction form
    483,720/762,687.75 = 762,687.75/x
  3. Step 3: Cross multiply
    483,720x = 762,687.75 × 762,687.75
  4. Step 4: Simplify right side
    483,720x = 581,692,604,000.06
  5. Step 5: Solve for x
    x = 581,692,604,000.06/483,720
  6. Step 6: Final answer
    x = 1,202,539.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.