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Finding the Third Proportional to 276,432.75 and 605,434.50

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Solution

The third proportional to 276,432.75 and 605,434.50 is: 1,326,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,432.75 : 605,434.50 = 605,434.50 : x
  2. Step 2: Convert to fraction form
    276,432.75/605,434.50 = 605,434.50/x
  3. Step 3: Cross multiply
    276,432.75x = 605,434.50 × 605,434.50
  4. Step 4: Simplify right side
    276,432.75x = 366,550,933,790.25
  5. Step 5: Solve for x
    x = 366,550,933,790.25/276,432.75
  6. Step 6: Final answer
    x = 1,326,004.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.