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Finding the Third Proportional to 264,454 and 397,257

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Solution

The third proportional to 264,454 and 397,257 is: 596,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,454 : 397,257 = 397,257 : x
  2. Step 2: Convert to fraction form
    264,454/397,257 = 397,257/x
  3. Step 3: Cross multiply
    264,454x = 397,257 × 397,257
  4. Step 4: Simplify right side
    264,454x = 157,813,124,049
  5. Step 5: Solve for x
    x = 157,813,124,049/264,454
  6. Step 6: Final answer
    x = 596,750.75

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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.