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Finding the Third Proportional to 477,910.50 and 1,033,255.50

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Solution

The third proportional to 477,910.50 and 1,033,255.50 is: 2,233,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,910.50 : 1,033,255.50 = 1,033,255.50 : x
  2. Step 2: Convert to fraction form
    477,910.50/1,033,255.50 = 1,033,255.50/x
  3. Step 3: Cross multiply
    477,910.50x = 1,033,255.50 × 1,033,255.50
  4. Step 4: Simplify right side
    477,910.50x = 1,067,616,928,280.25
  5. Step 5: Solve for x
    x = 1,067,616,928,280.25/477,910.50
  6. Step 6: Final answer
    x = 2,233,926.50

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Why These Related Problems?

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