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Finding the Third Proportional to 328,826 and 493,283

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Solution

The third proportional to 328,826 and 493,283 is: 739,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,826 : 493,283 = 493,283 : x
  2. Step 2: Convert to fraction form
    328,826/493,283 = 493,283/x
  3. Step 3: Cross multiply
    328,826x = 493,283 × 493,283
  4. Step 4: Simplify right side
    328,826x = 243,328,118,089
  5. Step 5: Solve for x
    x = 243,328,118,089/328,826
  6. Step 6: Final answer
    x = 739,990.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.