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Finding the Third Proportional to 212,484 and 464,172

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Solution

The third proportional to 212,484 and 464,172 is: 1,013,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,484 : 464,172 = 464,172 : x
  2. Step 2: Convert to fraction form
    212,484/464,172 = 464,172/x
  3. Step 3: Cross multiply
    212,484x = 464,172 × 464,172
  4. Step 4: Simplify right side
    212,484x = 215,455,645,584
  5. Step 5: Solve for x
    x = 215,455,645,584/212,484
  6. Step 6: Final answer
    x = 1,013,985.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.