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Finding the Third Proportional to 401,611.50 and 844,641

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Solution

The third proportional to 401,611.50 and 844,641 is: 1,776,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,611.50 : 844,641 = 844,641 : x
  2. Step 2: Convert to fraction form
    401,611.50/844,641 = 844,641/x
  3. Step 3: Cross multiply
    401,611.50x = 844,641 × 844,641
  4. Step 4: Simplify right side
    401,611.50x = 713,418,418,881
  5. Step 5: Solve for x
    x = 713,418,418,881/401,611.50
  6. Step 6: Final answer
    x = 1,776,389.42

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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.