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Finding the Third Proportional to 389.18 and 590.41

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Solution

The third proportional to 389.18 and 590.41 is: 895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.18 : 590.41 = 590.41 : x
  2. Step 2: Convert to fraction form
    389.18/590.41 = 590.41/x
  3. Step 3: Cross multiply
    389.18x = 590.41 × 590.41
  4. Step 4: Simplify right side
    389.18x = 348,588.77
  5. Step 5: Solve for x
    x = 348,588.77/389.18
  6. Step 6: Final answer
    x = 895.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.