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Finding the Third Proportional to 401,603.06 and 844,622.44

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Solution

The third proportional to 401,603.06 and 844,622.44 is: 1,776,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,603.06 : 844,622.44 = 844,622.44 : x
  2. Step 2: Convert to fraction form
    401,603.06/844,622.44 = 844,622.44/x
  3. Step 3: Cross multiply
    401,603.06x = 844,622.44 × 844,622.44
  4. Step 4: Simplify right side
    401,603.06x = 713,387,061,928.44
  5. Step 5: Solve for x
    x = 713,387,061,928.44/401,603.06
  6. Step 6: Final answer
    x = 1,776,348.66

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Why These Related Problems?

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