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Finding the Third Proportional to 248,579 and 533,945

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Solution

The third proportional to 248,579 and 533,945 is: 1,146,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,579 : 533,945 = 533,945 : x
  2. Step 2: Convert to fraction form
    248,579/533,945 = 533,945/x
  3. Step 3: Cross multiply
    248,579x = 533,945 × 533,945
  4. Step 4: Simplify right side
    248,579x = 285,097,263,025
  5. Step 5: Solve for x
    x = 285,097,263,025/248,579
  6. Step 6: Final answer
    x = 1,146,908.08

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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.