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Finding the Third Proportional to 285,982 and 609,962

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Solution

The third proportional to 285,982 and 609,962 is: 1,300,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,982 : 609,962 = 609,962 : x
  2. Step 2: Convert to fraction form
    285,982/609,962 = 609,962/x
  3. Step 3: Cross multiply
    285,982x = 609,962 × 609,962
  4. Step 4: Simplify right side
    285,982x = 372,053,641,444
  5. Step 5: Solve for x
    x = 372,053,641,444/285,982
  6. Step 6: Final answer
    x = 1,300,968.74

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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.