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Finding the Third Proportional to 229,654 and 326,619

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Solution

The third proportional to 229,654 and 326,619 is: 464,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,654 : 326,619 = 326,619 : x
  2. Step 2: Convert to fraction form
    229,654/326,619 = 326,619/x
  3. Step 3: Cross multiply
    229,654x = 326,619 × 326,619
  4. Step 4: Simplify right side
    229,654x = 106,679,971,161
  5. Step 5: Solve for x
    x = 106,679,971,161/229,654
  6. Step 6: Final answer
    x = 464,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.