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Finding the Third Proportional to 469.03 and 742.78

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Solution

The third proportional to 469.03 and 742.78 is: 1,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.03 : 742.78 = 742.78 : x
  2. Step 2: Convert to fraction form
    469.03/742.78 = 742.78/x
  3. Step 3: Cross multiply
    469.03x = 742.78 × 742.78
  4. Step 4: Simplify right side
    469.03x = 551,723.99
  5. Step 5: Solve for x
    x = 551,723.99/469.03
  6. Step 6: Final answer
    x = 1,176.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.