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Finding the Third Proportional to 309,968.44 and 478,764

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Solution

The third proportional to 309,968.44 and 478,764 is: 739,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,968.44 : 478,764 = 478,764 : x
  2. Step 2: Convert to fraction form
    309,968.44/478,764 = 478,764/x
  3. Step 3: Cross multiply
    309,968.44x = 478,764 × 478,764
  4. Step 4: Simplify right side
    309,968.44x = 229,214,967,696
  5. Step 5: Solve for x
    x = 229,214,967,696/309,968.44
  6. Step 6: Final answer
    x = 739,478.41

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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.