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Finding the Third Proportional to 449,721 and 957,703.50

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Solution

The third proportional to 449,721 and 957,703.50 is: 2,039,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,721 : 957,703.50 = 957,703.50 : x
  2. Step 2: Convert to fraction form
    449,721/957,703.50 = 957,703.50/x
  3. Step 3: Cross multiply
    449,721x = 957,703.50 × 957,703.50
  4. Step 4: Simplify right side
    449,721x = 917,195,993,912.25
  5. Step 5: Solve for x
    x = 917,195,993,912.25/449,721
  6. Step 6: Final answer
    x = 2,039,477.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.