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Finding the Third Proportional to 204,768 and 448,903

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Solution

The third proportional to 204,768 and 448,903 is: 984,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768 : 448,903 = 448,903 : x
  2. Step 2: Convert to fraction form
    204,768/448,903 = 448,903/x
  3. Step 3: Cross multiply
    204,768x = 448,903 × 448,903
  4. Step 4: Simplify right side
    204,768x = 201,513,903,409
  5. Step 5: Solve for x
    x = 201,513,903,409/204,768
  6. Step 6: Final answer
    x = 984,108.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.