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Finding the Third Proportional to 334,239.75 and 721,743.75

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Solution

The third proportional to 334,239.75 and 721,743.75 is: 1,558,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,239.75 : 721,743.75 = 721,743.75 : x
  2. Step 2: Convert to fraction form
    334,239.75/721,743.75 = 721,743.75/x
  3. Step 3: Cross multiply
    334,239.75x = 721,743.75 × 721,743.75
  4. Step 4: Simplify right side
    334,239.75x = 520,914,040,664.06
  5. Step 5: Solve for x
    x = 520,914,040,664.06/334,239.75
  6. Step 6: Final answer
    x = 1,558,504.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.