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Finding the Third Proportional to 205,543 and 448,338

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Solution

The third proportional to 205,543 and 448,338 is: 977,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,543 : 448,338 = 448,338 : x
  2. Step 2: Convert to fraction form
    205,543/448,338 = 448,338/x
  3. Step 3: Cross multiply
    205,543x = 448,338 × 448,338
  4. Step 4: Simplify right side
    205,543x = 201,006,962,244
  5. Step 5: Solve for x
    x = 201,006,962,244/205,543
  6. Step 6: Final answer
    x = 977,931.44

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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.