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Finding the Third Proportional to 564,826.50 and 1,241,600.50

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Solution

The third proportional to 564,826.50 and 1,241,600.50 is: 2,729,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,826.50 : 1,241,600.50 = 1,241,600.50 : x
  2. Step 2: Convert to fraction form
    564,826.50/1,241,600.50 = 1,241,600.50/x
  3. Step 3: Cross multiply
    564,826.50x = 1,241,600.50 × 1,241,600.50
  4. Step 4: Simplify right side
    564,826.50x = 1,541,571,801,600.25
  5. Step 5: Solve for x
    x = 1,541,571,801,600.25/564,826.50
  6. Step 6: Final answer
    x = 2,729,283.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.