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Finding the Third Proportional to 384,671.25 and 840,146.63

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Solution

The third proportional to 384,671.25 and 840,146.63 is: 1,834,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,671.25 : 840,146.63 = 840,146.63 : x
  2. Step 2: Convert to fraction form
    384,671.25/840,146.63 = 840,146.63/x
  3. Step 3: Cross multiply
    384,671.25x = 840,146.63 × 840,146.63
  4. Step 4: Simplify right side
    384,671.25x = 705,846,351,498.89
  5. Step 5: Solve for x
    x = 705,846,351,498.89/384,671.25
  6. Step 6: Final answer
    x = 1,834,933.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.