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Finding the Third Proportional to 272,329 and 588,386

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Solution

The third proportional to 272,329 and 588,386 is: 1,271,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,329 : 588,386 = 588,386 : x
  2. Step 2: Convert to fraction form
    272,329/588,386 = 588,386/x
  3. Step 3: Cross multiply
    272,329x = 588,386 × 588,386
  4. Step 4: Simplify right side
    272,329x = 346,198,084,996
  5. Step 5: Solve for x
    x = 346,198,084,996/272,329
  6. Step 6: Final answer
    x = 1,271,249.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.