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Finding the Third Proportional to 274,491 and 583,974

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Solution

The third proportional to 274,491 and 583,974 is: 1,242,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,491 : 583,974 = 583,974 : x
  2. Step 2: Convert to fraction form
    274,491/583,974 = 583,974/x
  3. Step 3: Cross multiply
    274,491x = 583,974 × 583,974
  4. Step 4: Simplify right side
    274,491x = 341,025,632,676
  5. Step 5: Solve for x
    x = 341,025,632,676/274,491
  6. Step 6: Final answer
    x = 1,242,392.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.