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Finding the Third Proportional to 267,953 and 426,530

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Solution

The third proportional to 267,953 and 426,530 is: 678,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,953 : 426,530 = 426,530 : x
  2. Step 2: Convert to fraction form
    267,953/426,530 = 426,530/x
  3. Step 3: Cross multiply
    267,953x = 426,530 × 426,530
  4. Step 4: Simplify right side
    267,953x = 181,927,840,900
  5. Step 5: Solve for x
    x = 181,927,840,900/267,953
  6. Step 6: Final answer
    x = 678,954.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.