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Finding the Third Proportional to 267,237 and 556,586

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Solution

The third proportional to 267,237 and 556,586 is: 1,159,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,237 : 556,586 = 556,586 : x
  2. Step 2: Convert to fraction form
    267,237/556,586 = 556,586/x
  3. Step 3: Cross multiply
    267,237x = 556,586 × 556,586
  4. Step 4: Simplify right side
    267,237x = 309,787,975,396
  5. Step 5: Solve for x
    x = 309,787,975,396/267,237
  6. Step 6: Final answer
    x = 1,159,225.61

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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.