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Finding the Third Proportional to 387,192.38 and 830,436.75

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Solution

The third proportional to 387,192.38 and 830,436.75 is: 1,781,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,192.38 : 830,436.75 = 830,436.75 : x
  2. Step 2: Convert to fraction form
    387,192.38/830,436.75 = 830,436.75/x
  3. Step 3: Cross multiply
    387,192.38x = 830,436.75 × 830,436.75
  4. Step 4: Simplify right side
    387,192.38x = 689,625,195,750.56
  5. Step 5: Solve for x
    x = 689,625,195,750.56/387,192.38
  6. Step 6: Final answer
    x = 1,781,091.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.