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Finding the Third Proportional to 301,062.76 and 443,277.56

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Solution

The third proportional to 301,062.76 and 443,277.56 is: 652,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,062.76 : 443,277.56 = 443,277.56 : x
  2. Step 2: Convert to fraction form
    301,062.76/443,277.56 = 443,277.56/x
  3. Step 3: Cross multiply
    301,062.76x = 443,277.56 × 443,277.56
  4. Step 4: Simplify right side
    301,062.76x = 196,494,997,415.94
  5. Step 5: Solve for x
    x = 196,494,997,415.94/301,062.76
  6. Step 6: Final answer
    x = 652,671.21

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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.