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Finding the Third Proportional to 375.94 and 586.88

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Solution

The third proportional to 375.94 and 586.88 is: 916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 586.88 = 586.88 : x
  2. Step 2: Convert to fraction form
    375.94/586.88 = 586.88/x
  3. Step 3: Cross multiply
    375.94x = 586.88 × 586.88
  4. Step 4: Simplify right side
    375.94x = 344,422.27
  5. Step 5: Solve for x
    x = 344,422.27/375.94
  6. Step 6: Final answer
    x = 916.17

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Why These Related Problems?

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