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Finding the Third Proportional to 267,969 and 426,553.50

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Solution

The third proportional to 267,969 and 426,553.50 is: 678,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,969 : 426,553.50 = 426,553.50 : x
  2. Step 2: Convert to fraction form
    267,969/426,553.50 = 426,553.50/x
  3. Step 3: Cross multiply
    267,969x = 426,553.50 × 426,553.50
  4. Step 4: Simplify right side
    267,969x = 181,947,888,362.25
  5. Step 5: Solve for x
    x = 181,947,888,362.25/267,969
  6. Step 6: Final answer
    x = 678,988.57

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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.