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Finding the Third Proportional to 215,311 and 463,527

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Solution

The third proportional to 215,311 and 463,527 is: 997,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,311 : 463,527 = 463,527 : x
  2. Step 2: Convert to fraction form
    215,311/463,527 = 463,527/x
  3. Step 3: Cross multiply
    215,311x = 463,527 × 463,527
  4. Step 4: Simplify right side
    215,311x = 214,857,279,729
  5. Step 5: Solve for x
    x = 214,857,279,729/215,311
  6. Step 6: Final answer
    x = 997,892.72

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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.