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Finding the Third Proportional to 449,768.06 and 643,173.66

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Solution

The third proportional to 449,768.06 and 643,173.66 is: 919,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,768.06 : 643,173.66 = 643,173.66 : x
  2. Step 2: Convert to fraction form
    449,768.06/643,173.66 = 643,173.66/x
  3. Step 3: Cross multiply
    449,768.06x = 643,173.66 × 643,173.66
  4. Step 4: Simplify right side
    449,768.06x = 413,672,352,093.99
  5. Step 5: Solve for x
    x = 413,672,352,093.99/449,768.06
  6. Step 6: Final answer
    x = 919,745.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.