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Finding the Third Proportional to 272,942 and 587,356

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Solution

The third proportional to 272,942 and 587,356 is: 1,263,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,942 : 587,356 = 587,356 : x
  2. Step 2: Convert to fraction form
    272,942/587,356 = 587,356/x
  3. Step 3: Cross multiply
    272,942x = 587,356 × 587,356
  4. Step 4: Simplify right side
    272,942x = 344,987,070,736
  5. Step 5: Solve for x
    x = 344,987,070,736/272,942
  6. Step 6: Final answer
    x = 1,263,957.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.