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Finding the Third Proportional to 800,569.50 and 1,743,283

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Solution

The third proportional to 800,569.50 and 1,743,283 is: 3,796,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,569.50 : 1,743,283 = 1,743,283 : x
  2. Step 2: Convert to fraction form
    800,569.50/1,743,283 = 1,743,283/x
  3. Step 3: Cross multiply
    800,569.50x = 1,743,283 × 1,743,283
  4. Step 4: Simplify right side
    800,569.50x = 3,039,035,618,089
  5. Step 5: Solve for x
    x = 3,039,035,618,089/800,569.50
  6. Step 6: Final answer
    x = 3,796,092.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.