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Finding the Third Proportional to 328,971.38 and 706,893.75

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Solution

The third proportional to 328,971.38 and 706,893.75 is: 1,518,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971.38 : 706,893.75 = 706,893.75 : x
  2. Step 2: Convert to fraction form
    328,971.38/706,893.75 = 706,893.75/x
  3. Step 3: Cross multiply
    328,971.38x = 706,893.75 × 706,893.75
  4. Step 4: Simplify right side
    328,971.38x = 499,698,773,789.06
  5. Step 5: Solve for x
    x = 499,698,773,789.06/328,971.38
  6. Step 6: Final answer
    x = 1,518,973.42

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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.