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Finding the Third Proportional to 433.69 and 699.05

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Solution

The third proportional to 433.69 and 699.05 is: 1,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.69 : 699.05 = 699.05 : x
  2. Step 2: Convert to fraction form
    433.69/699.05 = 699.05/x
  3. Step 3: Cross multiply
    433.69x = 699.05 × 699.05
  4. Step 4: Simplify right side
    433.69x = 488,666.53
  5. Step 5: Solve for x
    x = 488,666.53/433.69
  6. Step 6: Final answer
    x = 1,126.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.