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Finding the Third Proportional to 394,315.50 and 590,808

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Solution

The third proportional to 394,315.50 and 590,808 is: 885,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,315.50 : 590,808 = 590,808 : x
  2. Step 2: Convert to fraction form
    394,315.50/590,808 = 590,808/x
  3. Step 3: Cross multiply
    394,315.50x = 590,808 × 590,808
  4. Step 4: Simplify right side
    394,315.50x = 349,054,092,864
  5. Step 5: Solve for x
    x = 349,054,092,864/394,315.50
  6. Step 6: Final answer
    x = 885,215.25

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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.