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Finding the Third Proportional to 267,878 and 563,340

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Solution

The third proportional to 267,878 and 563,340 is: 1,184,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,878 : 563,340 = 563,340 : x
  2. Step 2: Convert to fraction form
    267,878/563,340 = 563,340/x
  3. Step 3: Cross multiply
    267,878x = 563,340 × 563,340
  4. Step 4: Simplify right side
    267,878x = 317,351,955,600
  5. Step 5: Solve for x
    x = 317,351,955,600/267,878
  6. Step 6: Final answer
    x = 1,184,688.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.