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Finding the Third Proportional to 309,784.50 and 636,243.75

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Solution

The third proportional to 309,784.50 and 636,243.75 is: 1,306,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,784.50 : 636,243.75 = 636,243.75 : x
  2. Step 2: Convert to fraction form
    309,784.50/636,243.75 = 636,243.75/x
  3. Step 3: Cross multiply
    309,784.50x = 636,243.75 × 636,243.75
  4. Step 4: Simplify right side
    309,784.50x = 404,806,109,414.06
  5. Step 5: Solve for x
    x = 404,806,109,414.06/309,784.50
  6. Step 6: Final answer
    x = 1,306,734.55

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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.