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Finding the Third Proportional to 283,125 and 599,042

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Solution

The third proportional to 283,125 and 599,042 is: 1,267,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,125 : 599,042 = 599,042 : x
  2. Step 2: Convert to fraction form
    283,125/599,042 = 599,042/x
  3. Step 3: Cross multiply
    283,125x = 599,042 × 599,042
  4. Step 4: Simplify right side
    283,125x = 358,851,317,764
  5. Step 5: Solve for x
    x = 358,851,317,764/283,125
  6. Step 6: Final answer
    x = 1,267,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.