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Finding the Third Proportional to 226,807 and 333,649

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Solution

The third proportional to 226,807 and 333,649 is: 490,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,807 : 333,649 = 333,649 : x
  2. Step 2: Convert to fraction form
    226,807/333,649 = 333,649/x
  3. Step 3: Cross multiply
    226,807x = 333,649 × 333,649
  4. Step 4: Simplify right side
    226,807x = 111,321,655,201
  5. Step 5: Solve for x
    x = 111,321,655,201/226,807
  6. Step 6: Final answer
    x = 490,821.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.