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Finding the Third Proportional to 507,181.50 and 789,810.75

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Solution

The third proportional to 507,181.50 and 789,810.75 is: 1,229,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,181.50 : 789,810.75 = 789,810.75 : x
  2. Step 2: Convert to fraction form
    507,181.50/789,810.75 = 789,810.75/x
  3. Step 3: Cross multiply
    507,181.50x = 789,810.75 × 789,810.75
  4. Step 4: Simplify right side
    507,181.50x = 623,801,020,815.56
  5. Step 5: Solve for x
    x = 623,801,020,815.56/507,181.50
  6. Step 6: Final answer
    x = 1,229,936.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.