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Finding the Third Proportional to 215,860 and 463,436

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Solution

The third proportional to 215,860 and 463,436 is: 994,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860 : 463,436 = 463,436 : x
  2. Step 2: Convert to fraction form
    215,860/463,436 = 463,436/x
  3. Step 3: Cross multiply
    215,860x = 463,436 × 463,436
  4. Step 4: Simplify right side
    215,860x = 214,772,926,096
  5. Step 5: Solve for x
    x = 214,772,926,096/215,860
  6. Step 6: Final answer
    x = 994,963.99

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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.