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Finding the Third Proportional to 267,654 and 581,964

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Solution

The third proportional to 267,654 and 581,964 is: 1,265,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,654 : 581,964 = 581,964 : x
  2. Step 2: Convert to fraction form
    267,654/581,964 = 581,964/x
  3. Step 3: Cross multiply
    267,654x = 581,964 × 581,964
  4. Step 4: Simplify right side
    267,654x = 338,682,097,296
  5. Step 5: Solve for x
    x = 338,682,097,296/267,654
  6. Step 6: Final answer
    x = 1,265,372.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.