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Finding the Third Proportional to 394,326 and 590,816.25

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Solution

The third proportional to 394,326 and 590,816.25 is: 885,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,326 : 590,816.25 = 590,816.25 : x
  2. Step 2: Convert to fraction form
    394,326/590,816.25 = 590,816.25/x
  3. Step 3: Cross multiply
    394,326x = 590,816.25 × 590,816.25
  4. Step 4: Simplify right side
    394,326x = 349,063,841,264.06
  5. Step 5: Solve for x
    x = 349,063,841,264.06/394,326
  6. Step 6: Final answer
    x = 885,216.40

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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.