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Finding the Third Proportional to 564,802.88 and 789,993

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Solution

The third proportional to 564,802.88 and 789,993 is: 1,104,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,802.88 : 789,993 = 789,993 : x
  2. Step 2: Convert to fraction form
    564,802.88/789,993 = 789,993/x
  3. Step 3: Cross multiply
    564,802.88x = 789,993 × 789,993
  4. Step 4: Simplify right side
    564,802.88x = 624,088,940,049
  5. Step 5: Solve for x
    x = 624,088,940,049/564,802.88
  6. Step 6: Final answer
    x = 1,104,967.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.