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Finding the Third Proportional to 207,020.81 and 443,552.63

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Solution

The third proportional to 207,020.81 and 443,552.63 is: 950,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,020.81 : 443,552.63 = 443,552.63 : x
  2. Step 2: Convert to fraction form
    207,020.81/443,552.63 = 443,552.63/x
  3. Step 3: Cross multiply
    207,020.81x = 443,552.63 × 443,552.63
  4. Step 4: Simplify right side
    207,020.81x = 196,738,931,144.39
  5. Step 5: Solve for x
    x = 196,738,931,144.39/207,020.81
  6. Step 6: Final answer
    x = 950,334.07

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Why These Related Problems?

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