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Finding the Third Proportional to 204,994 and 450,347

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Solution

The third proportional to 204,994 and 450,347 is: 989,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,994 : 450,347 = 450,347 : x
  2. Step 2: Convert to fraction form
    204,994/450,347 = 450,347/x
  3. Step 3: Cross multiply
    204,994x = 450,347 × 450,347
  4. Step 4: Simplify right side
    204,994x = 202,812,420,409
  5. Step 5: Solve for x
    x = 202,812,420,409/204,994
  6. Step 6: Final answer
    x = 989,357.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.