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Finding the Third Proportional to 329,838 and 493,893

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Solution

The third proportional to 329,838 and 493,893 is: 739,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838 : 493,893 = 493,893 : x
  2. Step 2: Convert to fraction form
    329,838/493,893 = 493,893/x
  3. Step 3: Cross multiply
    329,838x = 493,893 × 493,893
  4. Step 4: Simplify right side
    329,838x = 243,930,295,449
  5. Step 5: Solve for x
    x = 243,930,295,449/329,838
  6. Step 6: Final answer
    x = 739,545.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.