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Finding the Third Proportional to 248,909 and 382,806

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Solution

The third proportional to 248,909 and 382,806 is: 588,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,909 : 382,806 = 382,806 : x
  2. Step 2: Convert to fraction form
    248,909/382,806 = 382,806/x
  3. Step 3: Cross multiply
    248,909x = 382,806 × 382,806
  4. Step 4: Simplify right side
    248,909x = 146,540,433,636
  5. Step 5: Solve for x
    x = 146,540,433,636/248,909
  6. Step 6: Final answer
    x = 588,730.96

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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.