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Finding the Third Proportional to 241,872.75 and 526,572.56

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Solution

The third proportional to 241,872.75 and 526,572.56 is: 1,146,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,872.75 : 526,572.56 = 526,572.56 : x
  2. Step 2: Convert to fraction form
    241,872.75/526,572.56 = 526,572.56/x
  3. Step 3: Cross multiply
    241,872.75x = 526,572.56 × 526,572.56
  4. Step 4: Simplify right side
    241,872.75x = 277,278,663,577.82
  5. Step 5: Solve for x
    x = 277,278,663,577.82/241,872.75
  6. Step 6: Final answer
    x = 1,146,382.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.