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Finding the Third Proportional to 205,360.50 and 449,434

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Solution

The third proportional to 205,360.50 and 449,434 is: 983,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,360.50 : 449,434 = 449,434 : x
  2. Step 2: Convert to fraction form
    205,360.50/449,434 = 449,434/x
  3. Step 3: Cross multiply
    205,360.50x = 449,434 × 449,434
  4. Step 4: Simplify right side
    205,360.50x = 201,990,920,356
  5. Step 5: Solve for x
    x = 201,990,920,356/205,360.50
  6. Step 6: Final answer
    x = 983,591.88

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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.