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Finding the Third Proportional to 227,046.38 and 513,075.38

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Solution

The third proportional to 227,046.38 and 513,075.38 is: 1,159,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,046.38 : 513,075.38 = 513,075.38 : x
  2. Step 2: Convert to fraction form
    227,046.38/513,075.38 = 513,075.38/x
  3. Step 3: Cross multiply
    227,046.38x = 513,075.38 × 513,075.38
  4. Step 4: Simplify right side
    227,046.38x = 263,246,340,431.39
  5. Step 5: Solve for x
    x = 263,246,340,431.39/227,046.38
  6. Step 6: Final answer
    x = 1,159,438.64

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Why These Related Problems?

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