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Finding the Third Proportional to 247,233 and 533,886

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Solution

The third proportional to 247,233 and 533,886 is: 1,152,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,233 : 533,886 = 533,886 : x
  2. Step 2: Convert to fraction form
    247,233/533,886 = 533,886/x
  3. Step 3: Cross multiply
    247,233x = 533,886 × 533,886
  4. Step 4: Simplify right side
    247,233x = 285,034,260,996
  5. Step 5: Solve for x
    x = 285,034,260,996/247,233
  6. Step 6: Final answer
    x = 1,152,897.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.