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Finding the Third Proportional to 338,449.64 and 737,611.31

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Solution

The third proportional to 338,449.64 and 737,611.31 is: 1,607,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,449.64 : 737,611.31 = 737,611.31 : x
  2. Step 2: Convert to fraction form
    338,449.64/737,611.31 = 737,611.31/x
  3. Step 3: Cross multiply
    338,449.64x = 737,611.31 × 737,611.31
  4. Step 4: Simplify right side
    338,449.64x = 544,070,448,327.97
  5. Step 5: Solve for x
    x = 544,070,448,327.97/338,449.64
  6. Step 6: Final answer
    x = 1,607,537.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.