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Finding the Third Proportional to 320.12 and 700.52

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Solution

The third proportional to 320.12 and 700.52 is: 1,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.12 : 700.52 = 700.52 : x
  2. Step 2: Convert to fraction form
    320.12/700.52 = 700.52/x
  3. Step 3: Cross multiply
    320.12x = 700.52 × 700.52
  4. Step 4: Simplify right side
    320.12x = 490,733.09
  5. Step 5: Solve for x
    x = 490,733.09/320.12
  6. Step 6: Final answer
    x = 1,532.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.