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Finding the Third Proportional to 513,542 and 751,293

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Solution

The third proportional to 513,542 and 751,293 is: 1,099,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,542 : 751,293 = 751,293 : x
  2. Step 2: Convert to fraction form
    513,542/751,293 = 751,293/x
  3. Step 3: Cross multiply
    513,542x = 751,293 × 751,293
  4. Step 4: Simplify right side
    513,542x = 564,441,171,849
  5. Step 5: Solve for x
    x = 564,441,171,849/513,542
  6. Step 6: Final answer
    x = 1,099,113.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.