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Finding the Third Proportional to 226,927.13 and 493,774.88

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Solution

The third proportional to 226,927.13 and 493,774.88 is: 1,074,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,927.13 : 493,774.88 = 493,774.88 : x
  2. Step 2: Convert to fraction form
    226,927.13/493,774.88 = 493,774.88/x
  3. Step 3: Cross multiply
    226,927.13x = 493,774.88 × 493,774.88
  4. Step 4: Simplify right side
    226,927.13x = 243,813,627,181.27
  5. Step 5: Solve for x
    x = 243,813,627,181.27/226,927.13
  6. Step 6: Final answer
    x = 1,074,413.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.