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Finding the Third Proportional to 455,992.50 and 681,436.50

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Solution

The third proportional to 455,992.50 and 681,436.50 is: 1,018,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,992.50 : 681,436.50 = 681,436.50 : x
  2. Step 2: Convert to fraction form
    455,992.50/681,436.50 = 681,436.50/x
  3. Step 3: Cross multiply
    455,992.50x = 681,436.50 × 681,436.50
  4. Step 4: Simplify right side
    455,992.50x = 464,355,703,532.25
  5. Step 5: Solve for x
    x = 464,355,703,532.25/455,992.50
  6. Step 6: Final answer
    x = 1,018,340.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.