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Finding the Third Proportional to 455,976 and 706,108.50

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Solution

The third proportional to 455,976 and 706,108.50 is: 1,093,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,976 : 706,108.50 = 706,108.50 : x
  2. Step 2: Convert to fraction form
    455,976/706,108.50 = 706,108.50/x
  3. Step 3: Cross multiply
    455,976x = 706,108.50 × 706,108.50
  4. Step 4: Simplify right side
    455,976x = 498,589,213,772.25
  5. Step 5: Solve for x
    x = 498,589,213,772.25/455,976
  6. Step 6: Final answer
    x = 1,093,454.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.