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Finding the Third Proportional to 499,869 and 712,408.50

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Solution

The third proportional to 499,869 and 712,408.50 is: 1,015,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,869 : 712,408.50 = 712,408.50 : x
  2. Step 2: Convert to fraction form
    499,869/712,408.50 = 712,408.50/x
  3. Step 3: Cross multiply
    499,869x = 712,408.50 × 712,408.50
  4. Step 4: Simplify right side
    499,869x = 507,525,870,872.25
  5. Step 5: Solve for x
    x = 507,525,870,872.25/499,869
  6. Step 6: Final answer
    x = 1,015,317.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.