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Finding the Third Proportional to 272,864 and 574,005

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Solution

The third proportional to 272,864 and 574,005 is: 1,207,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,864 : 574,005 = 574,005 : x
  2. Step 2: Convert to fraction form
    272,864/574,005 = 574,005/x
  3. Step 3: Cross multiply
    272,864x = 574,005 × 574,005
  4. Step 4: Simplify right side
    272,864x = 329,481,740,025
  5. Step 5: Solve for x
    x = 329,481,740,025/272,864
  6. Step 6: Final answer
    x = 1,207,494.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.