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Finding the Third Proportional to 241,080 and 460,281

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Solution

The third proportional to 241,080 and 460,281 is: 878,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,080 : 460,281 = 460,281 : x
  2. Step 2: Convert to fraction form
    241,080/460,281 = 460,281/x
  3. Step 3: Cross multiply
    241,080x = 460,281 × 460,281
  4. Step 4: Simplify right side
    241,080x = 211,858,598,961
  5. Step 5: Solve for x
    x = 211,858,598,961/241,080
  6. Step 6: Final answer
    x = 878,789.61

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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.