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Finding the Third Proportional to 437.06 and 925.59

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Solution

The third proportional to 437.06 and 925.59 is: 1,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.06 : 925.59 = 925.59 : x
  2. Step 2: Convert to fraction form
    437.06/925.59 = 925.59/x
  3. Step 3: Cross multiply
    437.06x = 925.59 × 925.59
  4. Step 4: Simplify right side
    437.06x = 856,723.79
  5. Step 5: Solve for x
    x = 856,723.79/437.06
  6. Step 6: Final answer
    x = 1,960.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.