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Finding the Third Proportional to 248,929 and 382,853

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Solution

The third proportional to 248,929 and 382,853 is: 588,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,929 : 382,853 = 382,853 : x
  2. Step 2: Convert to fraction form
    248,929/382,853 = 382,853/x
  3. Step 3: Cross multiply
    248,929x = 382,853 × 382,853
  4. Step 4: Simplify right side
    248,929x = 146,576,419,609
  5. Step 5: Solve for x
    x = 146,576,419,609/248,929
  6. Step 6: Final answer
    x = 588,828.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.