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Finding the Third Proportional to 561,025 and 789,121.50

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Solution

The third proportional to 561,025 and 789,121.50 is: 1,109,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,025 : 789,121.50 = 789,121.50 : x
  2. Step 2: Convert to fraction form
    561,025/789,121.50 = 789,121.50/x
  3. Step 3: Cross multiply
    561,025x = 789,121.50 × 789,121.50
  4. Step 4: Simplify right side
    561,025x = 622,712,741,762.25
  5. Step 5: Solve for x
    x = 622,712,741,762.25/561,025
  6. Step 6: Final answer
    x = 1,109,955.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.