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Finding the Third Proportional to 342,633 and 789,676.50

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Solution

The third proportional to 342,633 and 789,676.50 is: 1,819,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,633 : 789,676.50 = 789,676.50 : x
  2. Step 2: Convert to fraction form
    342,633/789,676.50 = 789,676.50/x
  3. Step 3: Cross multiply
    342,633x = 789,676.50 × 789,676.50
  4. Step 4: Simplify right side
    342,633x = 623,588,974,652.25
  5. Step 5: Solve for x
    x = 623,588,974,652.25/342,633
  6. Step 6: Final answer
    x = 1,819,991.00

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.