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Finding the Third Proportional to 262,744 and 544,172

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Solution

The third proportional to 262,744 and 544,172 is: 1,127,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,744 : 544,172 = 544,172 : x
  2. Step 2: Convert to fraction form
    262,744/544,172 = 544,172/x
  3. Step 3: Cross multiply
    262,744x = 544,172 × 544,172
  4. Step 4: Simplify right side
    262,744x = 296,123,165,584
  5. Step 5: Solve for x
    x = 296,123,165,584/262,744
  6. Step 6: Final answer
    x = 1,127,040.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.