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Finding the Third Proportional to 384,915 and 927,295.50

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Solution

The third proportional to 384,915 and 927,295.50 is: 2,233,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,915 : 927,295.50 = 927,295.50 : x
  2. Step 2: Convert to fraction form
    384,915/927,295.50 = 927,295.50/x
  3. Step 3: Cross multiply
    384,915x = 927,295.50 × 927,295.50
  4. Step 4: Simplify right side
    384,915x = 859,876,944,320.25
  5. Step 5: Solve for x
    x = 859,876,944,320.25/384,915
  6. Step 6: Final answer
    x = 2,233,939.82

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.