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Finding the Third Proportional to 401,612 and 844,640

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Solution

The third proportional to 401,612 and 844,640 is: 1,776,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,612 : 844,640 = 844,640 : x
  2. Step 2: Convert to fraction form
    401,612/844,640 = 844,640/x
  3. Step 3: Cross multiply
    401,612x = 844,640 × 844,640
  4. Step 4: Simplify right side
    401,612x = 713,416,729,600
  5. Step 5: Solve for x
    x = 713,416,729,600/401,612
  6. Step 6: Final answer
    x = 1,776,383.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.