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Finding the Third Proportional to 261,846 and 397,629

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Solution

The third proportional to 261,846 and 397,629 is: 603,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,846 : 397,629 = 397,629 : x
  2. Step 2: Convert to fraction form
    261,846/397,629 = 397,629/x
  3. Step 3: Cross multiply
    261,846x = 397,629 × 397,629
  4. Step 4: Simplify right side
    261,846x = 158,108,821,641
  5. Step 5: Solve for x
    x = 158,108,821,641/261,846
  6. Step 6: Final answer
    x = 603,823.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.