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Finding the Third Proportional to 205,606 and 448,484

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Solution

The third proportional to 205,606 and 448,484 is: 978,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,606 : 448,484 = 448,484 : x
  2. Step 2: Convert to fraction form
    205,606/448,484 = 448,484/x
  3. Step 3: Cross multiply
    205,606x = 448,484 × 448,484
  4. Step 4: Simplify right side
    205,606x = 201,137,898,256
  5. Step 5: Solve for x
    x = 201,137,898,256/205,606
  6. Step 6: Final answer
    x = 978,268.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.