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Finding the Third Proportional to 367,995 and 553,812

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Solution

The third proportional to 367,995 and 553,812 is: 833,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,995 : 553,812 = 553,812 : x
  2. Step 2: Convert to fraction form
    367,995/553,812 = 553,812/x
  3. Step 3: Cross multiply
    367,995x = 553,812 × 553,812
  4. Step 4: Simplify right side
    367,995x = 306,707,731,344
  5. Step 5: Solve for x
    x = 306,707,731,344/367,995
  6. Step 6: Final answer
    x = 833,456.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.