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Finding the Third Proportional to 221,698 and 484,868

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Solution

The third proportional to 221,698 and 484,868 is: 1,060,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698 : 484,868 = 484,868 : x
  2. Step 2: Convert to fraction form
    221,698/484,868 = 484,868/x
  3. Step 3: Cross multiply
    221,698x = 484,868 × 484,868
  4. Step 4: Simplify right side
    221,698x = 235,096,977,424
  5. Step 5: Solve for x
    x = 235,096,977,424/221,698
  6. Step 6: Final answer
    x = 1,060,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.