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Finding the Third Proportional to 328.13 and 491.13

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Solution

The third proportional to 328.13 and 491.13 is: 735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 491.13 = 491.13 : x
  2. Step 2: Convert to fraction form
    328.13/491.13 = 491.13/x
  3. Step 3: Cross multiply
    328.13x = 491.13 × 491.13
  4. Step 4: Simplify right side
    328.13x = 241,203.77
  5. Step 5: Solve for x
    x = 241,203.77/328.13
  6. Step 6: Final answer
    x = 735.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.