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Finding the Third Proportional to 238,828 and 503,576

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Solution

The third proportional to 238,828 and 503,576 is: 1,061,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,828 : 503,576 = 503,576 : x
  2. Step 2: Convert to fraction form
    238,828/503,576 = 503,576/x
  3. Step 3: Cross multiply
    238,828x = 503,576 × 503,576
  4. Step 4: Simplify right side
    238,828x = 253,588,787,776
  5. Step 5: Solve for x
    x = 253,588,787,776/238,828
  6. Step 6: Final answer
    x = 1,061,805.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.