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Finding the Third Proportional to 221,952 and 496,608

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Solution

The third proportional to 221,952 and 496,608 is: 1,111,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,952 : 496,608 = 496,608 : x
  2. Step 2: Convert to fraction form
    221,952/496,608 = 496,608/x
  3. Step 3: Cross multiply
    221,952x = 496,608 × 496,608
  4. Step 4: Simplify right side
    221,952x = 246,619,505,664
  5. Step 5: Solve for x
    x = 246,619,505,664/221,952
  6. Step 6: Final answer
    x = 1,111,138.92

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.