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Finding the Third Proportional to 299,330.44 and 464,783.06

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Solution

The third proportional to 299,330.44 and 464,783.06 is: 721,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,330.44 : 464,783.06 = 464,783.06 : x
  2. Step 2: Convert to fraction form
    299,330.44/464,783.06 = 464,783.06/x
  3. Step 3: Cross multiply
    299,330.44x = 464,783.06 × 464,783.06
  4. Step 4: Simplify right side
    299,330.44x = 216,023,295,186.88
  5. Step 5: Solve for x
    x = 216,023,295,186.88/299,330.44
  6. Step 6: Final answer
    x = 721,688.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.