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Finding the Third Proportional to 229,065 and 464,285

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Solution

The third proportional to 229,065 and 464,285 is: 941,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065 : 464,285 = 464,285 : x
  2. Step 2: Convert to fraction form
    229,065/464,285 = 464,285/x
  3. Step 3: Cross multiply
    229,065x = 464,285 × 464,285
  4. Step 4: Simplify right side
    229,065x = 215,560,561,225
  5. Step 5: Solve for x
    x = 215,560,561,225/229,065
  6. Step 6: Final answer
    x = 941,045.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.