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Finding the Third Proportional to 387,243 and 843,382.50

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Solution

The third proportional to 387,243 and 843,382.50 is: 1,836,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,243 : 843,382.50 = 843,382.50 : x
  2. Step 2: Convert to fraction form
    387,243/843,382.50 = 843,382.50/x
  3. Step 3: Cross multiply
    387,243x = 843,382.50 × 843,382.50
  4. Step 4: Simplify right side
    387,243x = 711,294,041,306.25
  5. Step 5: Solve for x
    x = 711,294,041,306.25/387,243
  6. Step 6: Final answer
    x = 1,836,815.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.