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Finding the Third Proportional to 511,728 and 809,712

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Solution

The third proportional to 511,728 and 809,712 is: 1,281,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,728 : 809,712 = 809,712 : x
  2. Step 2: Convert to fraction form
    511,728/809,712 = 809,712/x
  3. Step 3: Cross multiply
    511,728x = 809,712 × 809,712
  4. Step 4: Simplify right side
    511,728x = 655,633,522,944
  5. Step 5: Solve for x
    x = 655,633,522,944/511,728
  6. Step 6: Final answer
    x = 1,281,214.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.