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Finding the Third Proportional to 378 and 597.66

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Solution

The third proportional to 378 and 597.66 is: 944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 597.66 = 597.66 : x
  2. Step 2: Convert to fraction form
    378/597.66 = 597.66/x
  3. Step 3: Cross multiply
    378x = 597.66 × 597.66
  4. Step 4: Simplify right side
    378x = 357,192.99
  5. Step 5: Solve for x
    x = 357,192.99/378
  6. Step 6: Final answer
    x = 944.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.