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Finding the Third Proportional to 267,239 and 556,591

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Solution

The third proportional to 267,239 and 556,591 is: 1,159,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,239 : 556,591 = 556,591 : x
  2. Step 2: Convert to fraction form
    267,239/556,591 = 556,591/x
  3. Step 3: Cross multiply
    267,239x = 556,591 × 556,591
  4. Step 4: Simplify right side
    267,239x = 309,793,541,281
  5. Step 5: Solve for x
    x = 309,793,541,281/267,239
  6. Step 6: Final answer
    x = 1,159,237.77

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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.