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Finding the Third Proportional to 212,822.44 and 317,388.38

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Solution

The third proportional to 212,822.44 and 317,388.38 is: 473,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,822.44 : 317,388.38 = 317,388.38 : x
  2. Step 2: Convert to fraction form
    212,822.44/317,388.38 = 317,388.38/x
  3. Step 3: Cross multiply
    212,822.44x = 317,388.38 × 317,388.38
  4. Step 4: Simplify right side
    212,822.44x = 100,735,380,585.14
  5. Step 5: Solve for x
    x = 100,735,380,585.14/212,822.44
  6. Step 6: Final answer
    x = 473,330.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.