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Finding the Third Proportional to 325,576 and 703,788

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Solution

The third proportional to 325,576 and 703,788 is: 1,521,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,576 : 703,788 = 703,788 : x
  2. Step 2: Convert to fraction form
    325,576/703,788 = 703,788/x
  3. Step 3: Cross multiply
    325,576x = 703,788 × 703,788
  4. Step 4: Simplify right side
    325,576x = 495,317,548,944
  5. Step 5: Solve for x
    x = 495,317,548,944/325,576
  6. Step 6: Final answer
    x = 1,521,357.68

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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.