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Finding the Third Proportional to 389,019 and 591,523.50

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Solution

The third proportional to 389,019 and 591,523.50 is: 899,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,019 : 591,523.50 = 591,523.50 : x
  2. Step 2: Convert to fraction form
    389,019/591,523.50 = 591,523.50/x
  3. Step 3: Cross multiply
    389,019x = 591,523.50 × 591,523.50
  4. Step 4: Simplify right side
    389,019x = 349,900,051,052.25
  5. Step 5: Solve for x
    x = 349,900,051,052.25/389,019
  6. Step 6: Final answer
    x = 899,442.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.