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Finding the Third Proportional to 342,357 and 500,857

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Solution

The third proportional to 342,357 and 500,857 is: 732,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,357 : 500,857 = 500,857 : x
  2. Step 2: Convert to fraction form
    342,357/500,857 = 500,857/x
  3. Step 3: Cross multiply
    342,357x = 500,857 × 500,857
  4. Step 4: Simplify right side
    342,357x = 250,857,734,449
  5. Step 5: Solve for x
    x = 250,857,734,449/342,357
  6. Step 6: Final answer
    x = 732,737.27

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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.