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Finding the Third Proportional to 389,648 and 585,615

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Solution

The third proportional to 389,648 and 585,615 is: 880,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,648 : 585,615 = 585,615 : x
  2. Step 2: Convert to fraction form
    389,648/585,615 = 585,615/x
  3. Step 3: Cross multiply
    389,648x = 585,615 × 585,615
  4. Step 4: Simplify right side
    389,648x = 342,944,928,225
  5. Step 5: Solve for x
    x = 342,944,928,225/389,648
  6. Step 6: Final answer
    x = 880,140.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.