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Finding the Third Proportional to 401,605.50 and 844,627.13

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Solution

The third proportional to 401,605.50 and 844,627.13 is: 1,776,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,605.50 : 844,627.13 = 844,627.13 : x
  2. Step 2: Convert to fraction form
    401,605.50/844,627.13 = 844,627.13/x
  3. Step 3: Cross multiply
    401,605.50x = 844,627.13 × 844,627.13
  4. Step 4: Simplify right side
    401,605.50x = 713,394,980,285.77
  5. Step 5: Solve for x
    x = 713,394,980,285.77/401,605.50
  6. Step 6: Final answer
    x = 1,776,357.60

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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.