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Finding the Third Proportional to 397,048.50 and 937,156.50

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Solution

The third proportional to 397,048.50 and 937,156.50 is: 2,211,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,048.50 : 937,156.50 = 937,156.50 : x
  2. Step 2: Convert to fraction form
    397,048.50/937,156.50 = 937,156.50/x
  3. Step 3: Cross multiply
    397,048.50x = 937,156.50 × 937,156.50
  4. Step 4: Simplify right side
    397,048.50x = 878,262,305,492.25
  5. Step 5: Solve for x
    x = 878,262,305,492.25/397,048.50
  6. Step 6: Final answer
    x = 2,211,977.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.