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Finding the Third Proportional to 230,712 and 494,226

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Solution

The third proportional to 230,712 and 494,226 is: 1,058,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,712 : 494,226 = 494,226 : x
  2. Step 2: Convert to fraction form
    230,712/494,226 = 494,226/x
  3. Step 3: Cross multiply
    230,712x = 494,226 × 494,226
  4. Step 4: Simplify right side
    230,712x = 244,259,339,076
  5. Step 5: Solve for x
    x = 244,259,339,076/230,712
  6. Step 6: Final answer
    x = 1,058,719.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.