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Finding the Third Proportional to 276,594.75 and 563,335.50

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Solution

The third proportional to 276,594.75 and 563,335.50 is: 1,147,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,594.75 : 563,335.50 = 563,335.50 : x
  2. Step 2: Convert to fraction form
    276,594.75/563,335.50 = 563,335.50/x
  3. Step 3: Cross multiply
    276,594.75x = 563,335.50 × 563,335.50
  4. Step 4: Simplify right side
    276,594.75x = 317,346,885,560.25
  5. Step 5: Solve for x
    x = 317,346,885,560.25/276,594.75
  6. Step 6: Final answer
    x = 1,147,335.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.