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Finding the Third Proportional to 273,742 and 585,315

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Solution

The third proportional to 273,742 and 585,315 is: 1,251,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,742 : 585,315 = 585,315 : x
  2. Step 2: Convert to fraction form
    273,742/585,315 = 585,315/x
  3. Step 3: Cross multiply
    273,742x = 585,315 × 585,315
  4. Step 4: Simplify right side
    273,742x = 342,593,649,225
  5. Step 5: Solve for x
    x = 342,593,649,225/273,742
  6. Step 6: Final answer
    x = 1,251,520.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.