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Finding the Third Proportional to 394,329 and 590,820

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Solution

The third proportional to 394,329 and 590,820 is: 885,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,329 : 590,820 = 590,820 : x
  2. Step 2: Convert to fraction form
    394,329/590,820 = 590,820/x
  3. Step 3: Cross multiply
    394,329x = 590,820 × 590,820
  4. Step 4: Simplify right side
    394,329x = 349,068,272,400
  5. Step 5: Solve for x
    x = 349,068,272,400/394,329
  6. Step 6: Final answer
    x = 885,220.90

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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.