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Finding the Third Proportional to 252,012 and 389,919

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Solution

The third proportional to 252,012 and 389,919 is: 603,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,012 : 389,919 = 389,919 : x
  2. Step 2: Convert to fraction form
    252,012/389,919 = 389,919/x
  3. Step 3: Cross multiply
    252,012x = 389,919 × 389,919
  4. Step 4: Simplify right side
    252,012x = 152,036,826,561
  5. Step 5: Solve for x
    x = 152,036,826,561/252,012
  6. Step 6: Final answer
    x = 603,292.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.