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Finding the Third Proportional to 267,964 and 426,546

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Solution

The third proportional to 267,964 and 426,546 is: 678,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,964 : 426,546 = 426,546 : x
  2. Step 2: Convert to fraction form
    267,964/426,546 = 426,546/x
  3. Step 3: Cross multiply
    267,964x = 426,546 × 426,546
  4. Step 4: Simplify right side
    267,964x = 181,941,490,116
  5. Step 5: Solve for x
    x = 181,941,490,116/267,964
  6. Step 6: Final answer
    x = 678,977.36

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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.