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Finding the Third Proportional to 267,223 and 556,560

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Solution

The third proportional to 267,223 and 556,560 is: 1,159,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,223 : 556,560 = 556,560 : x
  2. Step 2: Convert to fraction form
    267,223/556,560 = 556,560/x
  3. Step 3: Cross multiply
    267,223x = 556,560 × 556,560
  4. Step 4: Simplify right side
    267,223x = 309,759,033,600
  5. Step 5: Solve for x
    x = 309,759,033,600/267,223
  6. Step 6: Final answer
    x = 1,159,178.04

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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.