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Finding the Third Proportional to 440,632 and 594,517

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Solution

The third proportional to 440,632 and 594,517 is: 802,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,632 : 594,517 = 594,517 : x
  2. Step 2: Convert to fraction form
    440,632/594,517 = 594,517/x
  3. Step 3: Cross multiply
    440,632x = 594,517 × 594,517
  4. Step 4: Simplify right side
    440,632x = 353,450,463,289
  5. Step 5: Solve for x
    x = 353,450,463,289/440,632
  6. Step 6: Final answer
    x = 802,144.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.