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Finding the Third Proportional to 335.63 and 776.63

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Solution

The third proportional to 335.63 and 776.63 is: 1,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.63 : 776.63 = 776.63 : x
  2. Step 2: Convert to fraction form
    335.63/776.63 = 776.63/x
  3. Step 3: Cross multiply
    335.63x = 776.63 × 776.63
  4. Step 4: Simplify right side
    335.63x = 603,146.39
  5. Step 5: Solve for x
    x = 603,146.39/335.63
  6. Step 6: Final answer
    x = 1,797.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.