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Finding the Third Proportional to 304,858 and 701,160

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Solution

The third proportional to 304,858 and 701,160 is: 1,612,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,858 : 701,160 = 701,160 : x
  2. Step 2: Convert to fraction form
    304,858/701,160 = 701,160/x
  3. Step 3: Cross multiply
    304,858x = 701,160 × 701,160
  4. Step 4: Simplify right side
    304,858x = 491,625,345,600
  5. Step 5: Solve for x
    x = 491,625,345,600/304,858
  6. Step 6: Final answer
    x = 1,612,637.18

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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.