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Finding the Third Proportional to 325,073.25 and 700,174.13

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Solution

The third proportional to 325,073.25 and 700,174.13 is: 1,508,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,073.25 : 700,174.13 = 700,174.13 : x
  2. Step 2: Convert to fraction form
    325,073.25/700,174.13 = 700,174.13/x
  3. Step 3: Cross multiply
    325,073.25x = 700,174.13 × 700,174.13
  4. Step 4: Simplify right side
    325,073.25x = 490,243,805,319.52
  5. Step 5: Solve for x
    x = 490,243,805,319.52/325,073.25
  6. Step 6: Final answer
    x = 1,508,102.57

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Why These Related Problems?

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