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Finding the Third Proportional to 313.24 and 432.84

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Solution

The third proportional to 313.24 and 432.84 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 432.84 = 432.84 : x
  2. Step 2: Convert to fraction form
    313.24/432.84 = 432.84/x
  3. Step 3: Cross multiply
    313.24x = 432.84 × 432.84
  4. Step 4: Simplify right side
    313.24x = 187,353.71
  5. Step 5: Solve for x
    x = 187,353.71/313.24
  6. Step 6: Final answer
    x = 598.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.