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Finding the Third Proportional to 460,566 and 622,809

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Solution

The third proportional to 460,566 and 622,809 is: 842,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,566 : 622,809 = 622,809 : x
  2. Step 2: Convert to fraction form
    460,566/622,809 = 622,809/x
  3. Step 3: Cross multiply
    460,566x = 622,809 × 622,809
  4. Step 4: Simplify right side
    460,566x = 387,891,050,481
  5. Step 5: Solve for x
    x = 387,891,050,481/460,566
  6. Step 6: Final answer
    x = 842,205.14

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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.