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Finding the Third Proportional to 226,298.25 and 478,840.50

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Solution

The third proportional to 226,298.25 and 478,840.50 is: 1,013,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,298.25 : 478,840.50 = 478,840.50 : x
  2. Step 2: Convert to fraction form
    226,298.25/478,840.50 = 478,840.50/x
  3. Step 3: Cross multiply
    226,298.25x = 478,840.50 × 478,840.50
  4. Step 4: Simplify right side
    226,298.25x = 229,288,224,440.25
  5. Step 5: Solve for x
    x = 229,288,224,440.25/226,298.25
  6. Step 6: Final answer
    x = 1,013,212.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.