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Finding the Third Proportional to 227,045.25 and 513,073.13

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Solution

The third proportional to 227,045.25 and 513,073.13 is: 1,159,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,045.25 : 513,073.13 = 513,073.13 : x
  2. Step 2: Convert to fraction form
    227,045.25/513,073.13 = 513,073.13/x
  3. Step 3: Cross multiply
    227,045.25x = 513,073.13 × 513,073.13
  4. Step 4: Simplify right side
    227,045.25x = 263,244,031,597.27
  5. Step 5: Solve for x
    x = 263,244,031,597.27/227,045.25
  6. Step 6: Final answer
    x = 1,159,434.22

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.