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Finding the Third Proportional to 320,601 and 705,192

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Solution

The third proportional to 320,601 and 705,192 is: 1,551,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,601 : 705,192 = 705,192 : x
  2. Step 2: Convert to fraction form
    320,601/705,192 = 705,192/x
  3. Step 3: Cross multiply
    320,601x = 705,192 × 705,192
  4. Step 4: Simplify right side
    320,601x = 497,295,756,864
  5. Step 5: Solve for x
    x = 497,295,756,864/320,601
  6. Step 6: Final answer
    x = 1,551,136.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.