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Finding the Third Proportional to 301,383 and 664,096.50

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Solution

The third proportional to 301,383 and 664,096.50 is: 1,463,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,383 : 664,096.50 = 664,096.50 : x
  2. Step 2: Convert to fraction form
    301,383/664,096.50 = 664,096.50/x
  3. Step 3: Cross multiply
    301,383x = 664,096.50 × 664,096.50
  4. Step 4: Simplify right side
    301,383x = 441,024,161,312.25
  5. Step 5: Solve for x
    x = 441,024,161,312.25/301,383
  6. Step 6: Final answer
    x = 1,463,334.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.