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Finding the Third Proportional to 705.94 and 1,509.47

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Solution

The third proportional to 705.94 and 1,509.47 is: 3,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 1,509.47 = 1,509.47 : x
  2. Step 2: Convert to fraction form
    705.94/1,509.47 = 1,509.47/x
  3. Step 3: Cross multiply
    705.94x = 1,509.47 × 1,509.47
  4. Step 4: Simplify right side
    705.94x = 2,278,495.91
  5. Step 5: Solve for x
    x = 2,278,495.91/705.94
  6. Step 6: Final answer
    x = 3,227.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.