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Finding the Third Proportional to 328.06 and 710.13

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Solution

The third proportional to 328.06 and 710.13 is: 1,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 710.13 = 710.13 : x
  2. Step 2: Convert to fraction form
    328.06/710.13 = 710.13/x
  3. Step 3: Cross multiply
    328.06x = 710.13 × 710.13
  4. Step 4: Simplify right side
    328.06x = 504,277.52
  5. Step 5: Solve for x
    x = 504,277.52/328.06
  6. Step 6: Final answer
    x = 1,537.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.