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Finding the Third Proportional to 320,873.25 and 493,248.75

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Solution

The third proportional to 320,873.25 and 493,248.75 is: 758,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,873.25 : 493,248.75 = 493,248.75 : x
  2. Step 2: Convert to fraction form
    320,873.25/493,248.75 = 493,248.75/x
  3. Step 3: Cross multiply
    320,873.25x = 493,248.75 × 493,248.75
  4. Step 4: Simplify right side
    320,873.25x = 243,294,329,376.56
  5. Step 5: Solve for x
    x = 243,294,329,376.56/320,873.25
  6. Step 6: Final answer
    x = 758,225.65

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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.