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Finding the Third Proportional to 325,092.38 and 705,581.44

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Solution

The third proportional to 325,092.38 and 705,581.44 is: 1,531,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,092.38 : 705,581.44 = 705,581.44 : x
  2. Step 2: Convert to fraction form
    325,092.38/705,581.44 = 705,581.44/x
  3. Step 3: Cross multiply
    325,092.38x = 705,581.44 × 705,581.44
  4. Step 4: Simplify right side
    325,092.38x = 497,845,164,944.57
  5. Step 5: Solve for x
    x = 497,845,164,944.57/325,092.38
  6. Step 6: Final answer
    x = 1,531,396.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.