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Finding the Third Proportional to 386,808.75 and 840,174.75

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Solution

The third proportional to 386,808.75 and 840,174.75 is: 1,824,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,808.75 : 840,174.75 = 840,174.75 : x
  2. Step 2: Convert to fraction form
    386,808.75/840,174.75 = 840,174.75/x
  3. Step 3: Cross multiply
    386,808.75x = 840,174.75 × 840,174.75
  4. Step 4: Simplify right side
    386,808.75x = 705,893,610,537.56
  5. Step 5: Solve for x
    x = 705,893,610,537.56/386,808.75
  6. Step 6: Final answer
    x = 1,824,916.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.