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Finding the Third Proportional to 440,826 and 654,759

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Solution

The third proportional to 440,826 and 654,759 is: 972,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,826 : 654,759 = 654,759 : x
  2. Step 2: Convert to fraction form
    440,826/654,759 = 654,759/x
  3. Step 3: Cross multiply
    440,826x = 654,759 × 654,759
  4. Step 4: Simplify right side
    440,826x = 428,709,348,081
  5. Step 5: Solve for x
    x = 428,709,348,081/440,826
  6. Step 6: Final answer
    x = 972,513.75

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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.