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Finding the Third Proportional to 507,146 and 789,800

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Solution

The third proportional to 507,146 and 789,800 is: 1,229,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,146 : 789,800 = 789,800 : x
  2. Step 2: Convert to fraction form
    507,146/789,800 = 789,800/x
  3. Step 3: Cross multiply
    507,146x = 789,800 × 789,800
  4. Step 4: Simplify right side
    507,146x = 623,784,040,000
  5. Step 5: Solve for x
    x = 623,784,040,000/507,146
  6. Step 6: Final answer
    x = 1,229,989.08

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