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Finding the Third Proportional to 370.88 and 557.63

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Solution

The third proportional to 370.88 and 557.63 is: 838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.88 : 557.63 = 557.63 : x
  2. Step 2: Convert to fraction form
    370.88/557.63 = 557.63/x
  3. Step 3: Cross multiply
    370.88x = 557.63 × 557.63
  4. Step 4: Simplify right side
    370.88x = 310,945.64
  5. Step 5: Solve for x
    x = 310,945.64/370.88
  6. Step 6: Final answer
    x = 838.41

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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.