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Finding the Third Proportional to 272,328 and 588,384

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Solution

The third proportional to 272,328 and 588,384 is: 1,271,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,328 : 588,384 = 588,384 : x
  2. Step 2: Convert to fraction form
    272,328/588,384 = 588,384/x
  3. Step 3: Cross multiply
    272,328x = 588,384 × 588,384
  4. Step 4: Simplify right side
    272,328x = 346,195,731,456
  5. Step 5: Solve for x
    x = 346,195,731,456/272,328
  6. Step 6: Final answer
    x = 1,271,245.45

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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.