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Finding the Third Proportional to 289,314 and 444,966

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Solution

The third proportional to 289,314 and 444,966 is: 684,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,314 : 444,966 = 444,966 : x
  2. Step 2: Convert to fraction form
    289,314/444,966 = 444,966/x
  3. Step 3: Cross multiply
    289,314x = 444,966 × 444,966
  4. Step 4: Simplify right side
    289,314x = 197,994,741,156
  5. Step 5: Solve for x
    x = 197,994,741,156/289,314
  6. Step 6: Final answer
    x = 684,359.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.