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Finding the Third Proportional to 386,916.75 and 588,667.50

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Solution

The third proportional to 386,916.75 and 588,667.50 is: 895,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,916.75 : 588,667.50 = 588,667.50 : x
  2. Step 2: Convert to fraction form
    386,916.75/588,667.50 = 588,667.50/x
  3. Step 3: Cross multiply
    386,916.75x = 588,667.50 × 588,667.50
  4. Step 4: Simplify right side
    386,916.75x = 346,529,425,556.25
  5. Step 5: Solve for x
    x = 346,529,425,556.25/386,916.75
  6. Step 6: Final answer
    x = 895,617.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.