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Finding the Third Proportional to 305,262.75 and 448,749.38

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Solution

The third proportional to 305,262.75 and 448,749.38 is: 659,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,262.75 : 448,749.38 = 448,749.38 : x
  2. Step 2: Convert to fraction form
    305,262.75/448,749.38 = 448,749.38/x
  3. Step 3: Cross multiply
    305,262.75x = 448,749.38 × 448,749.38
  4. Step 4: Simplify right side
    305,262.75x = 201,376,001,562.89
  5. Step 5: Solve for x
    x = 201,376,001,562.89/305,262.75
  6. Step 6: Final answer
    x = 659,680.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.