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Finding the Third Proportional to 253,487 and 542,956

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Solution

The third proportional to 253,487 and 542,956 is: 1,162,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,487 : 542,956 = 542,956 : x
  2. Step 2: Convert to fraction form
    253,487/542,956 = 542,956/x
  3. Step 3: Cross multiply
    253,487x = 542,956 × 542,956
  4. Step 4: Simplify right side
    253,487x = 294,801,217,936
  5. Step 5: Solve for x
    x = 294,801,217,936/253,487
  6. Step 6: Final answer
    x = 1,162,983.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.