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Finding the Third Proportional to 369.56 and 590.34

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Solution

The third proportional to 369.56 and 590.34 is: 943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 590.34 = 590.34 : x
  2. Step 2: Convert to fraction form
    369.56/590.34 = 590.34/x
  3. Step 3: Cross multiply
    369.56x = 590.34 × 590.34
  4. Step 4: Simplify right side
    369.56x = 348,505.74
  5. Step 5: Solve for x
    x = 348,505.74/369.56
  6. Step 6: Final answer
    x = 943.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.