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Finding the Third Proportional to 594,240.75 and 1,280,882.25

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Solution

The third proportional to 594,240.75 and 1,280,882.25 is: 2,760,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,240.75 : 1,280,882.25 = 1,280,882.25 : x
  2. Step 2: Convert to fraction form
    594,240.75/1,280,882.25 = 1,280,882.25/x
  3. Step 3: Cross multiply
    594,240.75x = 1,280,882.25 × 1,280,882.25
  4. Step 4: Simplify right side
    594,240.75x = 1,640,659,338,365.06
  5. Step 5: Solve for x
    x = 1,640,659,338,365.06/594,240.75
  6. Step 6: Final answer
    x = 2,760,933.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.