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Finding the Third Proportional to 205,544 and 448,340

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Solution

The third proportional to 205,544 and 448,340 is: 977,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,544 : 448,340 = 448,340 : x
  2. Step 2: Convert to fraction form
    205,544/448,340 = 448,340/x
  3. Step 3: Cross multiply
    205,544x = 448,340 × 448,340
  4. Step 4: Simplify right side
    205,544x = 201,008,755,600
  5. Step 5: Solve for x
    x = 201,008,755,600/205,544
  6. Step 6: Final answer
    x = 977,935.41

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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.