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Finding the Third Proportional to 227,875.50 and 491,077

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Solution

The third proportional to 227,875.50 and 491,077 is: 1,058,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,875.50 : 491,077 = 491,077 : x
  2. Step 2: Convert to fraction form
    227,875.50/491,077 = 491,077/x
  3. Step 3: Cross multiply
    227,875.50x = 491,077 × 491,077
  4. Step 4: Simplify right side
    227,875.50x = 241,156,619,929
  5. Step 5: Solve for x
    x = 241,156,619,929/227,875.50
  6. Step 6: Final answer
    x = 1,058,282.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.