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Finding the Third Proportional to 492,081 and 628,771

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Solution

The third proportional to 492,081 and 628,771 is: 803,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,081 : 628,771 = 628,771 : x
  2. Step 2: Convert to fraction form
    492,081/628,771 = 628,771/x
  3. Step 3: Cross multiply
    492,081x = 628,771 × 628,771
  4. Step 4: Simplify right side
    492,081x = 395,352,970,441
  5. Step 5: Solve for x
    x = 395,352,970,441/492,081
  6. Step 6: Final answer
    x = 803,430.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.