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Finding the Third Proportional to 304,854 and 701,151

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Solution

The third proportional to 304,854 and 701,151 is: 1,612,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854 : 701,151 = 701,151 : x
  2. Step 2: Convert to fraction form
    304,854/701,151 = 701,151/x
  3. Step 3: Cross multiply
    304,854x = 701,151 × 701,151
  4. Step 4: Simplify right side
    304,854x = 491,612,724,801
  5. Step 5: Solve for x
    x = 491,612,724,801/304,854
  6. Step 6: Final answer
    x = 1,612,616.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.