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Finding the Third Proportional to 285,058.50 and 619,734

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Solution

The third proportional to 285,058.50 and 619,734 is: 1,347,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,058.50 : 619,734 = 619,734 : x
  2. Step 2: Convert to fraction form
    285,058.50/619,734 = 619,734/x
  3. Step 3: Cross multiply
    285,058.50x = 619,734 × 619,734
  4. Step 4: Simplify right side
    285,058.50x = 384,070,230,756
  5. Step 5: Solve for x
    x = 384,070,230,756/285,058.50
  6. Step 6: Final answer
    x = 1,347,338.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.