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Finding the Third Proportional to 447,504 and 677,755.50

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Solution

The third proportional to 447,504 and 677,755.50 is: 1,026,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,504 : 677,755.50 = 677,755.50 : x
  2. Step 2: Convert to fraction form
    447,504/677,755.50 = 677,755.50/x
  3. Step 3: Cross multiply
    447,504x = 677,755.50 × 677,755.50
  4. Step 4: Simplify right side
    447,504x = 459,352,517,780.25
  5. Step 5: Solve for x
    x = 459,352,517,780.25/447,504
  6. Step 6: Final answer
    x = 1,026,476.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.