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Finding the Third Proportional to 324,576 and 700,992

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Solution

The third proportional to 324,576 and 700,992 is: 1,513,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,576 : 700,992 = 700,992 : x
  2. Step 2: Convert to fraction form
    324,576/700,992 = 700,992/x
  3. Step 3: Cross multiply
    324,576x = 700,992 × 700,992
  4. Step 4: Simplify right side
    324,576x = 491,389,784,064
  5. Step 5: Solve for x
    x = 491,389,784,064/324,576
  6. Step 6: Final answer
    x = 1,513,943.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.