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Finding the Third Proportional to 205,873 and 433,883

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Solution

The third proportional to 205,873 and 433,883 is: 914,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,873 : 433,883 = 433,883 : x
  2. Step 2: Convert to fraction form
    205,873/433,883 = 433,883/x
  3. Step 3: Cross multiply
    205,873x = 433,883 × 433,883
  4. Step 4: Simplify right side
    205,873x = 188,254,457,689
  5. Step 5: Solve for x
    x = 188,254,457,689/205,873
  6. Step 6: Final answer
    x = 914,420.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.