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Finding the Third Proportional to 363,077 and 532,950

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Solution

The third proportional to 363,077 and 532,950 is: 782,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,077 : 532,950 = 532,950 : x
  2. Step 2: Convert to fraction form
    363,077/532,950 = 532,950/x
  3. Step 3: Cross multiply
    363,077x = 532,950 × 532,950
  4. Step 4: Simplify right side
    363,077x = 284,035,702,500
  5. Step 5: Solve for x
    x = 284,035,702,500/363,077
  6. Step 6: Final answer
    x = 782,301.56

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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.