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Finding the Third Proportional to 372.41 and 795.76

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Solution

The third proportional to 372.41 and 795.76 is: 1,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.41 : 795.76 = 795.76 : x
  2. Step 2: Convert to fraction form
    372.41/795.76 = 795.76/x
  3. Step 3: Cross multiply
    372.41x = 795.76 × 795.76
  4. Step 4: Simplify right side
    372.41x = 633,236.71
  5. Step 5: Solve for x
    x = 633,236.71/372.41
  6. Step 6: Final answer
    x = 1,700.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.