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Finding the Third Proportional to 234,459 and 504,441

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Solution

The third proportional to 234,459 and 504,441 is: 1,085,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,459 : 504,441 = 504,441 : x
  2. Step 2: Convert to fraction form
    234,459/504,441 = 504,441/x
  3. Step 3: Cross multiply
    234,459x = 504,441 × 504,441
  4. Step 4: Simplify right side
    234,459x = 254,460,722,481
  5. Step 5: Solve for x
    x = 254,460,722,481/234,459
  6. Step 6: Final answer
    x = 1,085,310.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.