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Finding the Third Proportional to 241,033 and 460,195

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Solution

The third proportional to 241,033 and 460,195 is: 878,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,033 : 460,195 = 460,195 : x
  2. Step 2: Convert to fraction form
    241,033/460,195 = 460,195/x
  3. Step 3: Cross multiply
    241,033x = 460,195 × 460,195
  4. Step 4: Simplify right side
    241,033x = 211,779,438,025
  5. Step 5: Solve for x
    x = 211,779,438,025/241,033
  6. Step 6: Final answer
    x = 878,632.54

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.