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Finding the Third Proportional to 440,777 and 654,685

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Solution

The third proportional to 440,777 and 654,685 is: 972,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,777 : 654,685 = 654,685 : x
  2. Step 2: Convert to fraction form
    440,777/654,685 = 654,685/x
  3. Step 3: Cross multiply
    440,777x = 654,685 × 654,685
  4. Step 4: Simplify right side
    440,777x = 428,612,449,225
  5. Step 5: Solve for x
    x = 428,612,449,225/440,777
  6. Step 6: Final answer
    x = 972,402.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.