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Finding the Third Proportional to 424,944 and 622,107

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Solution

The third proportional to 424,944 and 622,107 is: 910,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,944 : 622,107 = 622,107 : x
  2. Step 2: Convert to fraction form
    424,944/622,107 = 622,107/x
  3. Step 3: Cross multiply
    424,944x = 622,107 × 622,107
  4. Step 4: Simplify right side
    424,944x = 387,017,119,449
  5. Step 5: Solve for x
    x = 387,017,119,449/424,944
  6. Step 6: Final answer
    x = 910,748.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.