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Finding the Third Proportional to 700.52 and 1,509.26

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Solution

The third proportional to 700.52 and 1,509.26 is: 3,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.52 : 1,509.26 = 1,509.26 : x
  2. Step 2: Convert to fraction form
    700.52/1,509.26 = 1,509.26/x
  3. Step 3: Cross multiply
    700.52x = 1,509.26 × 1,509.26
  4. Step 4: Simplify right side
    700.52x = 2,277,859.14
  5. Step 5: Solve for x
    x = 2,277,859.14/700.52
  6. Step 6: Final answer
    x = 3,251.65

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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.