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Finding the Third Proportional to 293.91 and 432.28

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Solution

The third proportional to 293.91 and 432.28 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 432.28 = 432.28 : x
  2. Step 2: Convert to fraction form
    293.91/432.28 = 432.28/x
  3. Step 3: Cross multiply
    293.91x = 432.28 × 432.28
  4. Step 4: Simplify right side
    293.91x = 186,867.08
  5. Step 5: Solve for x
    x = 186,867.08/293.91
  6. Step 6: Final answer
    x = 635.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.