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Finding the Third Proportional to 299,133 and 648,202.50

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Solution

The third proportional to 299,133 and 648,202.50 is: 1,404,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,133 : 648,202.50 = 648,202.50 : x
  2. Step 2: Convert to fraction form
    299,133/648,202.50 = 648,202.50/x
  3. Step 3: Cross multiply
    299,133x = 648,202.50 × 648,202.50
  4. Step 4: Simplify right side
    299,133x = 420,166,481,006.25
  5. Step 5: Solve for x
    x = 420,166,481,006.25/299,133
  6. Step 6: Final answer
    x = 1,404,614.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.