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Finding the Third Proportional to 705.87 and 1,509.05

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Solution

The third proportional to 705.87 and 1,509.05 is: 3,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 1,509.05 = 1,509.05 : x
  2. Step 2: Convert to fraction form
    705.87/1,509.05 = 1,509.05/x
  3. Step 3: Cross multiply
    705.87x = 1,509.05 × 1,509.05
  4. Step 4: Simplify right side
    705.87x = 2,277,222.47
  5. Step 5: Solve for x
    x = 2,277,222.47/705.87
  6. Step 6: Final answer
    x = 3,226.13

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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.