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Finding the Third Proportional to 380,430 and 899,674.50

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Solution

The third proportional to 380,430 and 899,674.50 is: 2,127,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,430 : 899,674.50 = 899,674.50 : x
  2. Step 2: Convert to fraction form
    380,430/899,674.50 = 899,674.50/x
  3. Step 3: Cross multiply
    380,430x = 899,674.50 × 899,674.50
  4. Step 4: Simplify right side
    380,430x = 809,414,205,950.25
  5. Step 5: Solve for x
    x = 809,414,205,950.25/380,430
  6. Step 6: Final answer
    x = 2,127,629.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.