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Finding the Third Proportional to 291,576.38 and 476,121.38

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Solution

The third proportional to 291,576.38 and 476,121.38 is: 777,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,576.38 : 476,121.38 = 476,121.38 : x
  2. Step 2: Convert to fraction form
    291,576.38/476,121.38 = 476,121.38/x
  3. Step 3: Cross multiply
    291,576.38x = 476,121.38 × 476,121.38
  4. Step 4: Simplify right side
    291,576.38x = 226,691,563,731.89
  5. Step 5: Solve for x
    x = 226,691,563,731.89/291,576.38
  6. Step 6: Final answer
    x = 777,468.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.