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Finding the Third Proportional to 230,058 and 492,098

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Solution

The third proportional to 230,058 and 492,098 is: 1,052,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,058 : 492,098 = 492,098 : x
  2. Step 2: Convert to fraction form
    230,058/492,098 = 492,098/x
  3. Step 3: Cross multiply
    230,058x = 492,098 × 492,098
  4. Step 4: Simplify right side
    230,058x = 242,160,441,604
  5. Step 5: Solve for x
    x = 242,160,441,604/230,058
  6. Step 6: Final answer
    x = 1,052,606.05

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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.