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Finding the Third Proportional to 317,177.44 and 683,868.23

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Solution

The third proportional to 317,177.44 and 683,868.23 is: 1,474,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,177.44 : 683,868.23 = 683,868.23 : x
  2. Step 2: Convert to fraction form
    317,177.44/683,868.23 = 683,868.23/x
  3. Step 3: Cross multiply
    317,177.44x = 683,868.23 × 683,868.23
  4. Step 4: Simplify right side
    317,177.44x = 467,675,761,987.18
  5. Step 5: Solve for x
    x = 467,675,761,987.18/317,177.44
  6. Step 6: Final answer
    x = 1,474,492.53

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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.