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Finding the Third Proportional to 320,881.50 and 493,260.75

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Solution

The third proportional to 320,881.50 and 493,260.75 is: 758,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,881.50 : 493,260.75 = 493,260.75 : x
  2. Step 2: Convert to fraction form
    320,881.50/493,260.75 = 493,260.75/x
  3. Step 3: Cross multiply
    320,881.50x = 493,260.75 × 493,260.75
  4. Step 4: Simplify right side
    320,881.50x = 243,306,167,490.56
  5. Step 5: Solve for x
    x = 243,306,167,490.56/320,881.50
  6. Step 6: Final answer
    x = 758,243.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.