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Finding the Third Proportional to 283,585 and 580,090

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Solution

The third proportional to 283,585 and 580,090 is: 1,186,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,585 : 580,090 = 580,090 : x
  2. Step 2: Convert to fraction form
    283,585/580,090 = 580,090/x
  3. Step 3: Cross multiply
    283,585x = 580,090 × 580,090
  4. Step 4: Simplify right side
    283,585x = 336,504,408,100
  5. Step 5: Solve for x
    x = 336,504,408,100/283,585
  6. Step 6: Final answer
    x = 1,186,608.63

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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.