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Finding the Third Proportional to 440,828 and 654,762

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Solution

The third proportional to 440,828 and 654,762 is: 972,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,828 : 654,762 = 654,762 : x
  2. Step 2: Convert to fraction form
    440,828/654,762 = 654,762/x
  3. Step 3: Cross multiply
    440,828x = 654,762 × 654,762
  4. Step 4: Simplify right side
    440,828x = 428,713,276,644
  5. Step 5: Solve for x
    x = 428,713,276,644/440,828
  6. Step 6: Final answer
    x = 972,518.25

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