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Finding the Third Proportional to 247,273 and 533,966

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Solution

The third proportional to 247,273 and 533,966 is: 1,153,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,273 : 533,966 = 533,966 : x
  2. Step 2: Convert to fraction form
    247,273/533,966 = 533,966/x
  3. Step 3: Cross multiply
    247,273x = 533,966 × 533,966
  4. Step 4: Simplify right side
    247,273x = 285,119,689,156
  5. Step 5: Solve for x
    x = 285,119,689,156/247,273
  6. Step 6: Final answer
    x = 1,153,056.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.