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Finding the Third Proportional to 223,666.31 and 477,472.22

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Solution

The third proportional to 223,666.31 and 477,472.22 is: 1,019,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,666.31 : 477,472.22 = 477,472.22 : x
  2. Step 2: Convert to fraction form
    223,666.31/477,472.22 = 477,472.22/x
  3. Step 3: Cross multiply
    223,666.31x = 477,472.22 × 477,472.22
  4. Step 4: Simplify right side
    223,666.31x = 227,979,719,678.05
  5. Step 5: Solve for x
    x = 227,979,719,678.05/223,666.31
  6. Step 6: Final answer
    x = 1,019,285.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.