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Finding the Third Proportional to 508,612 and 622,336

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Solution

The third proportional to 508,612 and 622,336 is: 761,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,612 : 622,336 = 622,336 : x
  2. Step 2: Convert to fraction form
    508,612/622,336 = 622,336/x
  3. Step 3: Cross multiply
    508,612x = 622,336 × 622,336
  4. Step 4: Simplify right side
    508,612x = 387,302,096,896
  5. Step 5: Solve for x
    x = 387,302,096,896/508,612
  6. Step 6: Final answer
    x = 761,488.32

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.