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Finding the Third Proportional to 241,758 and 526,230

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Solution

The third proportional to 241,758 and 526,230 is: 1,145,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,758 : 526,230 = 526,230 : x
  2. Step 2: Convert to fraction form
    241,758/526,230 = 526,230/x
  3. Step 3: Cross multiply
    241,758x = 526,230 × 526,230
  4. Step 4: Simplify right side
    241,758x = 276,918,012,900
  5. Step 5: Solve for x
    x = 276,918,012,900/241,758
  6. Step 6: Final answer
    x = 1,145,434.74

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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.