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Finding the Third Proportional to 212,960 and 455,468

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Solution

The third proportional to 212,960 and 455,468 is: 974,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,960 : 455,468 = 455,468 : x
  2. Step 2: Convert to fraction form
    212,960/455,468 = 455,468/x
  3. Step 3: Cross multiply
    212,960x = 455,468 × 455,468
  4. Step 4: Simplify right side
    212,960x = 207,451,099,024
  5. Step 5: Solve for x
    x = 207,451,099,024/212,960
  6. Step 6: Final answer
    x = 974,131.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.