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Finding the Third Proportional to 243,314 and 533,992

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Solution

The third proportional to 243,314 and 533,992 is: 1,171,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,314 : 533,992 = 533,992 : x
  2. Step 2: Convert to fraction form
    243,314/533,992 = 533,992/x
  3. Step 3: Cross multiply
    243,314x = 533,992 × 533,992
  4. Step 4: Simplify right side
    243,314x = 285,147,456,064
  5. Step 5: Solve for x
    x = 285,147,456,064/243,314
  6. Step 6: Final answer
    x = 1,171,931.97

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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.