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Finding the Third Proportional to 267,243 and 556,596

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Solution

The third proportional to 267,243 and 556,596 is: 1,159,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,243 : 556,596 = 556,596 : x
  2. Step 2: Convert to fraction form
    267,243/556,596 = 556,596/x
  3. Step 3: Cross multiply
    267,243x = 556,596 × 556,596
  4. Step 4: Simplify right side
    267,243x = 309,799,107,216
  5. Step 5: Solve for x
    x = 309,799,107,216/267,243
  6. Step 6: Final answer
    x = 1,159,241.24

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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.