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Finding the Third Proportional to 328,738 and 445,470

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Solution

The third proportional to 328,738 and 445,470 is: 603,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,738 : 445,470 = 445,470 : x
  2. Step 2: Convert to fraction form
    328,738/445,470 = 445,470/x
  3. Step 3: Cross multiply
    328,738x = 445,470 × 445,470
  4. Step 4: Simplify right side
    328,738x = 198,443,520,900
  5. Step 5: Solve for x
    x = 198,443,520,900/328,738
  6. Step 6: Final answer
    x = 603,652.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.