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Finding the Third Proportional to 389.53 and 595.59

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Solution

The third proportional to 389.53 and 595.59 is: 910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 595.59 = 595.59 : x
  2. Step 2: Convert to fraction form
    389.53/595.59 = 595.59/x
  3. Step 3: Cross multiply
    389.53x = 595.59 × 595.59
  4. Step 4: Simplify right side
    389.53x = 354,731.92
  5. Step 5: Solve for x
    x = 354,731.92/389.53
  6. Step 6: Final answer
    x = 910.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.