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Finding the Third Proportional to 274,194 and 583,308

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Solution

The third proportional to 274,194 and 583,308 is: 1,240,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,194 : 583,308 = 583,308 : x
  2. Step 2: Convert to fraction form
    274,194/583,308 = 583,308/x
  3. Step 3: Cross multiply
    274,194x = 583,308 × 583,308
  4. Step 4: Simplify right side
    274,194x = 340,248,222,864
  5. Step 5: Solve for x
    x = 340,248,222,864/274,194
  6. Step 6: Final answer
    x = 1,240,903.24

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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.