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Finding the Third Proportional to 443,674.50 and 724,402.50

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Solution

The third proportional to 443,674.50 and 724,402.50 is: 1,182,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,674.50 : 724,402.50 = 724,402.50 : x
  2. Step 2: Convert to fraction form
    443,674.50/724,402.50 = 724,402.50/x
  3. Step 3: Cross multiply
    443,674.50x = 724,402.50 × 724,402.50
  4. Step 4: Simplify right side
    443,674.50x = 524,758,982,006.25
  5. Step 5: Solve for x
    x = 524,758,982,006.25/443,674.50
  6. Step 6: Final answer
    x = 1,182,756.69

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.