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Finding the Third Proportional to 363,076.50 and 532,950

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Solution

The third proportional to 363,076.50 and 532,950 is: 782,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,076.50 : 532,950 = 532,950 : x
  2. Step 2: Convert to fraction form
    363,076.50/532,950 = 532,950/x
  3. Step 3: Cross multiply
    363,076.50x = 532,950 × 532,950
  4. Step 4: Simplify right side
    363,076.50x = 284,035,702,500
  5. Step 5: Solve for x
    x = 284,035,702,500/363,076.50
  6. Step 6: Final answer
    x = 782,302.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.