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Finding the Third Proportional to 299,485.50 and 648,765

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Solution

The third proportional to 299,485.50 and 648,765 is: 1,405,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,485.50 : 648,765 = 648,765 : x
  2. Step 2: Convert to fraction form
    299,485.50/648,765 = 648,765/x
  3. Step 3: Cross multiply
    299,485.50x = 648,765 × 648,765
  4. Step 4: Simplify right side
    299,485.50x = 420,896,025,225
  5. Step 5: Solve for x
    x = 420,896,025,225/299,485.50
  6. Step 6: Final answer
    x = 1,405,397.01

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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.