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Finding the Third Proportional to 272,644 and 558,884

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Solution

The third proportional to 272,644 and 558,884 is: 1,145,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,644 : 558,884 = 558,884 : x
  2. Step 2: Convert to fraction form
    272,644/558,884 = 558,884/x
  3. Step 3: Cross multiply
    272,644x = 558,884 × 558,884
  4. Step 4: Simplify right side
    272,644x = 312,351,325,456
  5. Step 5: Solve for x
    x = 312,351,325,456/272,644
  6. Step 6: Final answer
    x = 1,145,637.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.