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Finding the Third Proportional to 467,653.50 and 1,042,287.75

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Solution

The third proportional to 467,653.50 and 1,042,287.75 is: 2,323,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,653.50 : 1,042,287.75 = 1,042,287.75 : x
  2. Step 2: Convert to fraction form
    467,653.50/1,042,287.75 = 1,042,287.75/x
  3. Step 3: Cross multiply
    467,653.50x = 1,042,287.75 × 1,042,287.75
  4. Step 4: Simplify right side
    467,653.50x = 1,086,363,753,800.06
  5. Step 5: Solve for x
    x = 1,086,363,753,800.06/467,653.50
  6. Step 6: Final answer
    x = 2,323,009.99

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.