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Finding the Third Proportional to 253,872 and 601,466

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Solution

The third proportional to 253,872 and 601,466 is: 1,424,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872 : 601,466 = 601,466 : x
  2. Step 2: Convert to fraction form
    253,872/601,466 = 601,466/x
  3. Step 3: Cross multiply
    253,872x = 601,466 × 601,466
  4. Step 4: Simplify right side
    253,872x = 361,761,349,156
  5. Step 5: Solve for x
    x = 361,761,349,156/253,872
  6. Step 6: Final answer
    x = 1,424,975.38

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.