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Finding the Third Proportional to 455,994 and 684,234

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Solution

The third proportional to 455,994 and 684,234 is: 1,026,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,994 : 684,234 = 684,234 : x
  2. Step 2: Convert to fraction form
    455,994/684,234 = 684,234/x
  3. Step 3: Cross multiply
    455,994x = 684,234 × 684,234
  4. Step 4: Simplify right side
    455,994x = 468,176,166,756
  5. Step 5: Solve for x
    x = 468,176,166,756/455,994
  6. Step 6: Final answer
    x = 1,026,715.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.