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Finding the Third Proportional to 339,798 and 731,667.75

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Solution

The third proportional to 339,798 and 731,667.75 is: 1,575,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,798 : 731,667.75 = 731,667.75 : x
  2. Step 2: Convert to fraction form
    339,798/731,667.75 = 731,667.75/x
  3. Step 3: Cross multiply
    339,798x = 731,667.75 × 731,667.75
  4. Step 4: Simplify right side
    339,798x = 535,337,696,390.06
  5. Step 5: Solve for x
    x = 535,337,696,390.06/339,798
  6. Step 6: Final answer
    x = 1,575,458.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.