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Finding the Third Proportional to 335.07 and 695.78

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Solution

The third proportional to 335.07 and 695.78 is: 1,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 695.78 = 695.78 : x
  2. Step 2: Convert to fraction form
    335.07/695.78 = 695.78/x
  3. Step 3: Cross multiply
    335.07x = 695.78 × 695.78
  4. Step 4: Simplify right side
    335.07x = 484,106.11
  5. Step 5: Solve for x
    x = 484,106.11/335.07
  6. Step 6: Final answer
    x = 1,444.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.