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Finding the Third Proportional to 430.78 and 934.69

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Solution

The third proportional to 430.78 and 934.69 is: 2,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.78 : 934.69 = 934.69 : x
  2. Step 2: Convert to fraction form
    430.78/934.69 = 934.69/x
  3. Step 3: Cross multiply
    430.78x = 934.69 × 934.69
  4. Step 4: Simplify right side
    430.78x = 873,640.72
  5. Step 5: Solve for x
    x = 873,640.72/430.78
  6. Step 6: Final answer
    x = 2,028.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.