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Finding the Third Proportional to 247,266 and 529,524

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Solution

The third proportional to 247,266 and 529,524 is: 1,133,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,266 : 529,524 = 529,524 : x
  2. Step 2: Convert to fraction form
    247,266/529,524 = 529,524/x
  3. Step 3: Cross multiply
    247,266x = 529,524 × 529,524
  4. Step 4: Simplify right side
    247,266x = 280,395,666,576
  5. Step 5: Solve for x
    x = 280,395,666,576/247,266
  6. Step 6: Final answer
    x = 1,133,983.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.