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Finding the Third Proportional to 317,181.66 and 683,877.09

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Solution

The third proportional to 317,181.66 and 683,877.09 is: 1,474,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,181.66 : 683,877.09 = 683,877.09 : x
  2. Step 2: Convert to fraction form
    317,181.66/683,877.09 = 683,877.09/x
  3. Step 3: Cross multiply
    317,181.66x = 683,877.09 × 683,877.09
  4. Step 4: Simplify right side
    317,181.66x = 467,687,879,355.95
  5. Step 5: Solve for x
    x = 467,687,879,355.95/317,181.66
  6. Step 6: Final answer
    x = 1,474,511.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.