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Finding the Third Proportional to 244,032.75 and 529,581.38

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Solution

The third proportional to 244,032.75 and 529,581.38 is: 1,149,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,032.75 : 529,581.38 = 529,581.38 : x
  2. Step 2: Convert to fraction form
    244,032.75/529,581.38 = 529,581.38/x
  3. Step 3: Cross multiply
    244,032.75x = 529,581.38 × 529,581.38
  4. Step 4: Simplify right side
    244,032.75x = 280,456,432,746.89
  5. Step 5: Solve for x
    x = 280,456,432,746.89/244,032.75
  6. Step 6: Final answer
    x = 1,149,257.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.