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Finding the Third Proportional to 202,437.56 and 443,011.22

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Solution

The third proportional to 202,437.56 and 443,011.22 is: 969,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,437.56 : 443,011.22 = 443,011.22 : x
  2. Step 2: Convert to fraction form
    202,437.56/443,011.22 = 443,011.22/x
  3. Step 3: Cross multiply
    202,437.56x = 443,011.22 × 443,011.22
  4. Step 4: Simplify right side
    202,437.56x = 196,258,939,938.36
  5. Step 5: Solve for x
    x = 196,258,939,938.36/202,437.56
  6. Step 6: Final answer
    x = 969,478.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.