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Finding the Third Proportional to 204,797 and 448,959

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Solution

The third proportional to 204,797 and 448,959 is: 984,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,797 : 448,959 = 448,959 : x
  2. Step 2: Convert to fraction form
    204,797/448,959 = 448,959/x
  3. Step 3: Cross multiply
    204,797x = 448,959 × 448,959
  4. Step 4: Simplify right side
    204,797x = 201,564,183,681
  5. Step 5: Solve for x
    x = 201,564,183,681/204,797
  6. Step 6: Final answer
    x = 984,214.53

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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.