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Finding the Third Proportional to 291,576 and 476,116

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Solution

The third proportional to 291,576 and 476,116 is: 777,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,576 : 476,116 = 476,116 : x
  2. Step 2: Convert to fraction form
    291,576/476,116 = 476,116/x
  3. Step 3: Cross multiply
    291,576x = 476,116 × 476,116
  4. Step 4: Simplify right side
    291,576x = 226,686,445,456
  5. Step 5: Solve for x
    x = 226,686,445,456/291,576
  6. Step 6: Final answer
    x = 777,452.35

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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.