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Finding the Third Proportional to 283,671 and 604,890

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Solution

The third proportional to 283,671 and 604,890 is: 1,289,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,671 : 604,890 = 604,890 : x
  2. Step 2: Convert to fraction form
    283,671/604,890 = 604,890/x
  3. Step 3: Cross multiply
    283,671x = 604,890 × 604,890
  4. Step 4: Simplify right side
    283,671x = 365,891,912,100
  5. Step 5: Solve for x
    x = 365,891,912,100/283,671
  6. Step 6: Final answer
    x = 1,289,846.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.