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Finding the Third Proportional to 223,870 and 483,823

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Solution

The third proportional to 223,870 and 483,823 is: 1,045,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,870 : 483,823 = 483,823 : x
  2. Step 2: Convert to fraction form
    223,870/483,823 = 483,823/x
  3. Step 3: Cross multiply
    223,870x = 483,823 × 483,823
  4. Step 4: Simplify right side
    223,870x = 234,084,695,329
  5. Step 5: Solve for x
    x = 234,084,695,329/223,870
  6. Step 6: Final answer
    x = 1,045,627.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.