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Finding the Third Proportional to 234,489 and 363,318

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Solution

The third proportional to 234,489 and 363,318 is: 562,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,489 : 363,318 = 363,318 : x
  2. Step 2: Convert to fraction form
    234,489/363,318 = 363,318/x
  3. Step 3: Cross multiply
    234,489x = 363,318 × 363,318
  4. Step 4: Simplify right side
    234,489x = 131,999,969,124
  5. Step 5: Solve for x
    x = 131,999,969,124/234,489
  6. Step 6: Final answer
    x = 562,926.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.