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Finding the Third Proportional to 356.91 and 557.72

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Solution

The third proportional to 356.91 and 557.72 is: 871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 557.72 = 557.72 : x
  2. Step 2: Convert to fraction form
    356.91/557.72 = 557.72/x
  3. Step 3: Cross multiply
    356.91x = 557.72 × 557.72
  4. Step 4: Simplify right side
    356.91x = 311,050.20
  5. Step 5: Solve for x
    x = 311,050.20/356.91
  6. Step 6: Final answer
    x = 871.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.