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Finding the Third Proportional to 332.86 and 499.29

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Solution

The third proportional to 332.86 and 499.29 is: 748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.86 : 499.29 = 499.29 : x
  2. Step 2: Convert to fraction form
    332.86/499.29 = 499.29/x
  3. Step 3: Cross multiply
    332.86x = 499.29 × 499.29
  4. Step 4: Simplify right side
    332.86x = 249,289.57
  5. Step 5: Solve for x
    x = 249,289.57/332.86
  6. Step 6: Final answer
    x = 748.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.