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Finding the Third Proportional to 638,616.75 and 1,064,318.75

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Solution

The third proportional to 638,616.75 and 1,064,318.75 is: 1,773,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,616.75 : 1,064,318.75 = 1,064,318.75 : x
  2. Step 2: Convert to fraction form
    638,616.75/1,064,318.75 = 1,064,318.75/x
  3. Step 3: Cross multiply
    638,616.75x = 1,064,318.75 × 1,064,318.75
  4. Step 4: Simplify right side
    638,616.75x = 1,132,774,401,601.56
  5. Step 5: Solve for x
    x = 1,132,774,401,601.56/638,616.75
  6. Step 6: Final answer
    x = 1,773,793.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.