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Finding the Third Proportional to 212,803 and 456,966

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Solution

The third proportional to 212,803 and 456,966 is: 981,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,803 : 456,966 = 456,966 : x
  2. Step 2: Convert to fraction form
    212,803/456,966 = 456,966/x
  3. Step 3: Cross multiply
    212,803x = 456,966 × 456,966
  4. Step 4: Simplify right side
    212,803x = 208,817,925,156
  5. Step 5: Solve for x
    x = 208,817,925,156/212,803
  6. Step 6: Final answer
    x = 981,273.41

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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.