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Finding the Third Proportional to 301,115 and 443,356

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Solution

The third proportional to 301,115 and 443,356 is: 652,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,115 : 443,356 = 443,356 : x
  2. Step 2: Convert to fraction form
    301,115/443,356 = 443,356/x
  3. Step 3: Cross multiply
    301,115x = 443,356 × 443,356
  4. Step 4: Simplify right side
    301,115x = 196,564,542,736
  5. Step 5: Solve for x
    x = 196,564,542,736/301,115
  6. Step 6: Final answer
    x = 652,788.94

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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.