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Finding the Third Proportional to 386,331.75 and 590,979.38

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Solution

The third proportional to 386,331.75 and 590,979.38 is: 904,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,331.75 : 590,979.38 = 590,979.38 : x
  2. Step 2: Convert to fraction form
    386,331.75/590,979.38 = 590,979.38/x
  3. Step 3: Cross multiply
    386,331.75x = 590,979.38 × 590,979.38
  4. Step 4: Simplify right side
    386,331.75x = 349,256,621,675.39
  5. Step 5: Solve for x
    x = 349,256,621,675.39/386,331.75
  6. Step 6: Final answer
    x = 904,032.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.