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Finding the Third Proportional to 212,832 and 465,552

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Solution

The third proportional to 212,832 and 465,552 is: 1,018,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,832 : 465,552 = 465,552 : x
  2. Step 2: Convert to fraction form
    212,832/465,552 = 465,552/x
  3. Step 3: Cross multiply
    212,832x = 465,552 × 465,552
  4. Step 4: Simplify right side
    212,832x = 216,738,664,704
  5. Step 5: Solve for x
    x = 216,738,664,704/212,832
  6. Step 6: Final answer
    x = 1,018,355.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.