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Finding the Third Proportional to 244,736 and 502,648

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Solution

The third proportional to 244,736 and 502,648 is: 1,032,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,736 : 502,648 = 502,648 : x
  2. Step 2: Convert to fraction form
    244,736/502,648 = 502,648/x
  3. Step 3: Cross multiply
    244,736x = 502,648 × 502,648
  4. Step 4: Simplify right side
    244,736x = 252,655,011,904
  5. Step 5: Solve for x
    x = 252,655,011,904/244,736
  6. Step 6: Final answer
    x = 1,032,357.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.