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Finding the Third Proportional to 219,870 and 481,823

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Solution

The third proportional to 219,870 and 481,823 is: 1,055,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,870 : 481,823 = 481,823 : x
  2. Step 2: Convert to fraction form
    219,870/481,823 = 481,823/x
  3. Step 3: Cross multiply
    219,870x = 481,823 × 481,823
  4. Step 4: Simplify right side
    219,870x = 232,153,403,329
  5. Step 5: Solve for x
    x = 232,153,403,329/219,870
  6. Step 6: Final answer
    x = 1,055,866.66

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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.