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Finding the Third Proportional to 215,549 and 463,519

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Solution

The third proportional to 215,549 and 463,519 is: 996,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,549 : 463,519 = 463,519 : x
  2. Step 2: Convert to fraction form
    215,549/463,519 = 463,519/x
  3. Step 3: Cross multiply
    215,549x = 463,519 × 463,519
  4. Step 4: Simplify right side
    215,549x = 214,849,863,361
  5. Step 5: Solve for x
    x = 214,849,863,361/215,549
  6. Step 6: Final answer
    x = 996,756.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.