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Finding the Third Proportional to 264,576 and 397,464

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Solution

The third proportional to 264,576 and 397,464 is: 597,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,576 : 397,464 = 397,464 : x
  2. Step 2: Convert to fraction form
    264,576/397,464 = 397,464/x
  3. Step 3: Cross multiply
    264,576x = 397,464 × 397,464
  4. Step 4: Simplify right side
    264,576x = 157,977,631,296
  5. Step 5: Solve for x
    x = 157,977,631,296/264,576
  6. Step 6: Final answer
    x = 597,097.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.