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Finding the Third Proportional to 403,812 and 622,566

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Solution

The third proportional to 403,812 and 622,566 is: 959,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812 : 622,566 = 622,566 : x
  2. Step 2: Convert to fraction form
    403,812/622,566 = 622,566/x
  3. Step 3: Cross multiply
    403,812x = 622,566 × 622,566
  4. Step 4: Simplify right side
    403,812x = 387,588,424,356
  5. Step 5: Solve for x
    x = 387,588,424,356/403,812
  6. Step 6: Final answer
    x = 959,823.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.