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Finding the Third Proportional to 283,566 and 580,092

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Solution

The third proportional to 283,566 and 580,092 is: 1,186,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,566 : 580,092 = 580,092 : x
  2. Step 2: Convert to fraction form
    283,566/580,092 = 580,092/x
  3. Step 3: Cross multiply
    283,566x = 580,092 × 580,092
  4. Step 4: Simplify right side
    283,566x = 336,506,728,464
  5. Step 5: Solve for x
    x = 336,506,728,464/283,566
  6. Step 6: Final answer
    x = 1,186,696.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.