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Finding the Third Proportional to 267,302 and 556,718

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Solution

The third proportional to 267,302 and 556,718 is: 1,159,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,302 : 556,718 = 556,718 : x
  2. Step 2: Convert to fraction form
    267,302/556,718 = 556,718/x
  3. Step 3: Cross multiply
    267,302x = 556,718 × 556,718
  4. Step 4: Simplify right side
    267,302x = 309,934,931,524
  5. Step 5: Solve for x
    x = 309,934,931,524/267,302
  6. Step 6: Final answer
    x = 1,159,493.50

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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.