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Finding the Third Proportional to 443,803.50 and 721,035

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Solution

The third proportional to 443,803.50 and 721,035 is: 1,171,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,803.50 : 721,035 = 721,035 : x
  2. Step 2: Convert to fraction form
    443,803.50/721,035 = 721,035/x
  3. Step 3: Cross multiply
    443,803.50x = 721,035 × 721,035
  4. Step 4: Simplify right side
    443,803.50x = 519,891,471,225
  5. Step 5: Solve for x
    x = 519,891,471,225/443,803.50
  6. Step 6: Final answer
    x = 1,171,445.18

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.