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Finding the Third Proportional to 440,380.50 and 845,769

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Solution

The third proportional to 440,380.50 and 845,769 is: 1,624,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,380.50 : 845,769 = 845,769 : x
  2. Step 2: Convert to fraction form
    440,380.50/845,769 = 845,769/x
  3. Step 3: Cross multiply
    440,380.50x = 845,769 × 845,769
  4. Step 4: Simplify right side
    440,380.50x = 715,325,201,361
  5. Step 5: Solve for x
    x = 715,325,201,361/440,380.50
  6. Step 6: Final answer
    x = 1,624,334.41

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.