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Finding the Third Proportional to 386.06 and 597.28

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Solution

The third proportional to 386.06 and 597.28 is: 924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.06 : 597.28 = 597.28 : x
  2. Step 2: Convert to fraction form
    386.06/597.28 = 597.28/x
  3. Step 3: Cross multiply
    386.06x = 597.28 × 597.28
  4. Step 4: Simplify right side
    386.06x = 356,744.89
  5. Step 5: Solve for x
    x = 356,744.89/386.06
  6. Step 6: Final answer
    x = 924.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.