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Finding the Third Proportional to 228,536 and 501,376

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Solution

The third proportional to 228,536 and 501,376 is: 1,099,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,536 : 501,376 = 501,376 : x
  2. Step 2: Convert to fraction form
    228,536/501,376 = 501,376/x
  3. Step 3: Cross multiply
    228,536x = 501,376 × 501,376
  4. Step 4: Simplify right side
    228,536x = 251,377,893,376
  5. Step 5: Solve for x
    x = 251,377,893,376/228,536
  6. Step 6: Final answer
    x = 1,099,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.