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Finding the Third Proportional to 389,202 and 591,651

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Solution

The third proportional to 389,202 and 591,651 is: 899,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,202 : 591,651 = 591,651 : x
  2. Step 2: Convert to fraction form
    389,202/591,651 = 591,651/x
  3. Step 3: Cross multiply
    389,202x = 591,651 × 591,651
  4. Step 4: Simplify right side
    389,202x = 350,050,905,801
  5. Step 5: Solve for x
    x = 350,050,905,801/389,202
  6. Step 6: Final answer
    x = 899,406.75

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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.