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Finding the Third Proportional to 516,525 and 789,586.50

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Solution

The third proportional to 516,525 and 789,586.50 is: 1,207,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,525 : 789,586.50 = 789,586.50 : x
  2. Step 2: Convert to fraction form
    516,525/789,586.50 = 789,586.50/x
  3. Step 3: Cross multiply
    516,525x = 789,586.50 × 789,586.50
  4. Step 4: Simplify right side
    516,525x = 623,446,840,982.25
  5. Step 5: Solve for x
    x = 623,446,840,982.25/516,525
  6. Step 6: Final answer
    x = 1,207,002.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.