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Finding the Third Proportional to 335.63 and 493.13

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Solution

The third proportional to 335.63 and 493.13 is: 724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.63 : 493.13 = 493.13 : x
  2. Step 2: Convert to fraction form
    335.63/493.13 = 493.13/x
  3. Step 3: Cross multiply
    335.63x = 493.13 × 493.13
  4. Step 4: Simplify right side
    335.63x = 243,172.27
  5. Step 5: Solve for x
    x = 243,172.27/335.63
  6. Step 6: Final answer
    x = 724.54

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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.