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Finding the Third Proportional to 223,377 and 481,743

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Solution

The third proportional to 223,377 and 481,743 is: 1,038,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,377 : 481,743 = 481,743 : x
  2. Step 2: Convert to fraction form
    223,377/481,743 = 481,743/x
  3. Step 3: Cross multiply
    223,377x = 481,743 × 481,743
  4. Step 4: Simplify right side
    223,377x = 232,076,318,049
  5. Step 5: Solve for x
    x = 232,076,318,049/223,377
  6. Step 6: Final answer
    x = 1,038,944.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.