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Finding the Third Proportional to 228,032 and 527,846

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Solution

The third proportional to 228,032 and 527,846 is: 1,221,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,032 : 527,846 = 527,846 : x
  2. Step 2: Convert to fraction form
    228,032/527,846 = 527,846/x
  3. Step 3: Cross multiply
    228,032x = 527,846 × 527,846
  4. Step 4: Simplify right side
    228,032x = 278,621,399,716
  5. Step 5: Solve for x
    x = 278,621,399,716/228,032
  6. Step 6: Final answer
    x = 1,221,852.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.