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Finding the Third Proportional to 435.59 and 590.94

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Solution

The third proportional to 435.59 and 590.94 is: 801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.59 : 590.94 = 590.94 : x
  2. Step 2: Convert to fraction form
    435.59/590.94 = 590.94/x
  3. Step 3: Cross multiply
    435.59x = 590.94 × 590.94
  4. Step 4: Simplify right side
    435.59x = 349,211.75
  5. Step 5: Solve for x
    x = 349,211.75/435.59
  6. Step 6: Final answer
    x = 801.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.