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Finding the Third Proportional to 424.44 and 499.44

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Solution

The third proportional to 424.44 and 499.44 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 499.44 = 499.44 : x
  2. Step 2: Convert to fraction form
    424.44/499.44 = 499.44/x
  3. Step 3: Cross multiply
    424.44x = 499.44 × 499.44
  4. Step 4: Simplify right side
    424.44x = 249,437.82
  5. Step 5: Solve for x
    x = 249,437.82/424.44
  6. Step 6: Final answer
    x = 587.69

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.