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Finding the Third Proportional to 309,992.06 and 478,816.31

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Solution

The third proportional to 309,992.06 and 478,816.31 is: 739,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,992.06 : 478,816.31 = 478,816.31 : x
  2. Step 2: Convert to fraction form
    309,992.06/478,816.31 = 478,816.31/x
  3. Step 3: Cross multiply
    309,992.06x = 478,816.31 × 478,816.31
  4. Step 4: Simplify right side
    309,992.06x = 229,265,061,116.10
  5. Step 5: Solve for x
    x = 229,265,061,116.10/309,992.06
  6. Step 6: Final answer
    x = 739,583.65

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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.