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Finding the Third Proportional to 499.78 and 735.05

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Solution

The third proportional to 499.78 and 735.05 is: 1,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 735.05 = 735.05 : x
  2. Step 2: Convert to fraction form
    499.78/735.05 = 735.05/x
  3. Step 3: Cross multiply
    499.78x = 735.05 × 735.05
  4. Step 4: Simplify right side
    499.78x = 540,293.91
  5. Step 5: Solve for x
    x = 540,293.91/499.78
  6. Step 6: Final answer
    x = 1,081.06

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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.