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Finding the Third Proportional to 267,235 and 556,582

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Solution

The third proportional to 267,235 and 556,582 is: 1,159,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,235 : 556,582 = 556,582 : x
  2. Step 2: Convert to fraction form
    267,235/556,582 = 556,582/x
  3. Step 3: Cross multiply
    267,235x = 556,582 × 556,582
  4. Step 4: Simplify right side
    267,235x = 309,783,522,724
  5. Step 5: Solve for x
    x = 309,783,522,724/267,235
  6. Step 6: Final answer
    x = 1,159,217.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.