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Finding the Third Proportional to 440,832 and 654,768

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Solution

The third proportional to 440,832 and 654,768 is: 972,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,832 : 654,768 = 654,768 : x
  2. Step 2: Convert to fraction form
    440,832/654,768 = 654,768/x
  3. Step 3: Cross multiply
    440,832x = 654,768 × 654,768
  4. Step 4: Simplify right side
    440,832x = 428,721,133,824
  5. Step 5: Solve for x
    x = 428,721,133,824/440,832
  6. Step 6: Final answer
    x = 972,527.25

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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.