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Finding the Third Proportional to 272,863 and 574,003

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Solution

The third proportional to 272,863 and 574,003 is: 1,207,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,863 : 574,003 = 574,003 : x
  2. Step 2: Convert to fraction form
    272,863/574,003 = 574,003/x
  3. Step 3: Cross multiply
    272,863x = 574,003 × 574,003
  4. Step 4: Simplify right side
    272,863x = 329,479,444,009
  5. Step 5: Solve for x
    x = 329,479,444,009/272,863
  6. Step 6: Final answer
    x = 1,207,490.37

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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.