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Finding the Third Proportional to 578.11 and 841.78

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Solution

The third proportional to 578.11 and 841.78 is: 1,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.11 : 841.78 = 841.78 : x
  2. Step 2: Convert to fraction form
    578.11/841.78 = 841.78/x
  3. Step 3: Cross multiply
    578.11x = 841.78 × 841.78
  4. Step 4: Simplify right side
    578.11x = 708,595.67
  5. Step 5: Solve for x
    x = 708,595.67/578.11
  6. Step 6: Final answer
    x = 1,225.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.