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Finding the Third Proportional to 200,774.25 and 452,107.13

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Solution

The third proportional to 200,774.25 and 452,107.13 is: 1,018,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,774.25 : 452,107.13 = 452,107.13 : x
  2. Step 2: Convert to fraction form
    200,774.25/452,107.13 = 452,107.13/x
  3. Step 3: Cross multiply
    200,774.25x = 452,107.13 × 452,107.13
  4. Step 4: Simplify right side
    200,774.25x = 204,400,852,475.77
  5. Step 5: Solve for x
    x = 204,400,852,475.77/200,774.25
  6. Step 6: Final answer
    x = 1,018,063.09

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.