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Finding the Third Proportional to 303,840 and 662,350.50

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Solution

The third proportional to 303,840 and 662,350.50 is: 1,443,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,840 : 662,350.50 = 662,350.50 : x
  2. Step 2: Convert to fraction form
    303,840/662,350.50 = 662,350.50/x
  3. Step 3: Cross multiply
    303,840x = 662,350.50 × 662,350.50
  4. Step 4: Simplify right side
    303,840x = 438,708,184,850.25
  5. Step 5: Solve for x
    x = 438,708,184,850.25/303,840
  6. Step 6: Final answer
    x = 1,443,878.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.