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Finding the Third Proportional to 367,058 and 493,995

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Solution

The third proportional to 367,058 and 493,995 is: 664,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,058 : 493,995 = 493,995 : x
  2. Step 2: Convert to fraction form
    367,058/493,995 = 493,995/x
  3. Step 3: Cross multiply
    367,058x = 493,995 × 493,995
  4. Step 4: Simplify right side
    367,058x = 244,031,060,025
  5. Step 5: Solve for x
    x = 244,031,060,025/367,058
  6. Step 6: Final answer
    x = 664,829.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.