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Finding the Third Proportional to 242,812 and 533,806.75

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Solution

The third proportional to 242,812 and 533,806.75 is: 1,173,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,812 : 533,806.75 = 533,806.75 : x
  2. Step 2: Convert to fraction form
    242,812/533,806.75 = 533,806.75/x
  3. Step 3: Cross multiply
    242,812x = 533,806.75 × 533,806.75
  4. Step 4: Simplify right side
    242,812x = 284,949,646,345.56
  5. Step 5: Solve for x
    x = 284,949,646,345.56/242,812
  6. Step 6: Final answer
    x = 1,173,540.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.