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Finding the Third Proportional to 273,384 and 410,073.75

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Solution

The third proportional to 273,384 and 410,073.75 is: 615,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,384 : 410,073.75 = 410,073.75 : x
  2. Step 2: Convert to fraction form
    273,384/410,073.75 = 410,073.75/x
  3. Step 3: Cross multiply
    273,384x = 410,073.75 × 410,073.75
  4. Step 4: Simplify right side
    273,384x = 168,160,480,439.06
  5. Step 5: Solve for x
    x = 168,160,480,439.06/273,384
  6. Step 6: Final answer
    x = 615,107.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.