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Finding the Third Proportional to 455,680 and 683,296

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Solution

The third proportional to 455,680 and 683,296 is: 1,024,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,680 : 683,296 = 683,296 : x
  2. Step 2: Convert to fraction form
    455,680/683,296 = 683,296/x
  3. Step 3: Cross multiply
    455,680x = 683,296 × 683,296
  4. Step 4: Simplify right side
    455,680x = 466,893,423,616
  5. Step 5: Solve for x
    x = 466,893,423,616/455,680
  6. Step 6: Final answer
    x = 1,024,608.11

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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.