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Finding the Third Proportional to 378.84 and 570.45

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Solution

The third proportional to 378.84 and 570.45 is: 858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 570.45 = 570.45 : x
  2. Step 2: Convert to fraction form
    378.84/570.45 = 570.45/x
  3. Step 3: Cross multiply
    378.84x = 570.45 × 570.45
  4. Step 4: Simplify right side
    378.84x = 325,407.85
  5. Step 5: Solve for x
    x = 325,407.85/378.84
  6. Step 6: Final answer
    x = 858.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.