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Finding the Third Proportional to 312,036.75 and 638,862.75

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Solution

The third proportional to 312,036.75 and 638,862.75 is: 1,308,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,036.75 : 638,862.75 = 638,862.75 : x
  2. Step 2: Convert to fraction form
    312,036.75/638,862.75 = 638,862.75/x
  3. Step 3: Cross multiply
    312,036.75x = 638,862.75 × 638,862.75
  4. Step 4: Simplify right side
    312,036.75x = 408,145,613,337.56
  5. Step 5: Solve for x
    x = 408,145,613,337.56/312,036.75
  6. Step 6: Final answer
    x = 1,308,004.95

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.