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Finding the Third Proportional to 443,776.50 and 949,061.25

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Solution

The third proportional to 443,776.50 and 949,061.25 is: 2,029,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,776.50 : 949,061.25 = 949,061.25 : x
  2. Step 2: Convert to fraction form
    443,776.50/949,061.25 = 949,061.25/x
  3. Step 3: Cross multiply
    443,776.50x = 949,061.25 × 949,061.25
  4. Step 4: Simplify right side
    443,776.50x = 900,717,256,251.56
  5. Step 5: Solve for x
    x = 900,717,256,251.56/443,776.50
  6. Step 6: Final answer
    x = 2,029,664.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.