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Finding the Third Proportional to 243,308 and 533,981

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Solution

The third proportional to 243,308 and 533,981 is: 1,171,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,308 : 533,981 = 533,981 : x
  2. Step 2: Convert to fraction form
    243,308/533,981 = 533,981/x
  3. Step 3: Cross multiply
    243,308x = 533,981 × 533,981
  4. Step 4: Simplify right side
    243,308x = 285,135,708,361
  5. Step 5: Solve for x
    x = 285,135,708,361/243,308
  6. Step 6: Final answer
    x = 1,171,912.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.