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Finding the Third Proportional to 212,812 and 456,984

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Solution

The third proportional to 212,812 and 456,984 is: 981,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,812 : 456,984 = 456,984 : x
  2. Step 2: Convert to fraction form
    212,812/456,984 = 456,984/x
  3. Step 3: Cross multiply
    212,812x = 456,984 × 456,984
  4. Step 4: Simplify right side
    212,812x = 208,834,376,256
  5. Step 5: Solve for x
    x = 208,834,376,256/212,812
  6. Step 6: Final answer
    x = 981,309.21

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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.