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Finding the Third Proportional to 375.19 and 558.88

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Solution

The third proportional to 375.19 and 558.88 is: 832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.19 : 558.88 = 558.88 : x
  2. Step 2: Convert to fraction form
    375.19/558.88 = 558.88/x
  3. Step 3: Cross multiply
    375.19x = 558.88 × 558.88
  4. Step 4: Simplify right side
    375.19x = 312,341.27
  5. Step 5: Solve for x
    x = 312,341.27/375.19
  6. Step 6: Final answer
    x = 832.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.