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Finding the Third Proportional to 322,130.25 and 693,738

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Solution

The third proportional to 322,130.25 and 693,738 is: 1,494,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,130.25 : 693,738 = 693,738 : x
  2. Step 2: Convert to fraction form
    322,130.25/693,738 = 693,738/x
  3. Step 3: Cross multiply
    322,130.25x = 693,738 × 693,738
  4. Step 4: Simplify right side
    322,130.25x = 481,272,412,644
  5. Step 5: Solve for x
    x = 481,272,412,644/322,130.25
  6. Step 6: Final answer
    x = 1,494,030.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.