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Finding the Third Proportional to 275,444 and 583,958

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Solution

The third proportional to 275,444 and 583,958 is: 1,238,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,444 : 583,958 = 583,958 : x
  2. Step 2: Convert to fraction form
    275,444/583,958 = 583,958/x
  3. Step 3: Cross multiply
    275,444x = 583,958 × 583,958
  4. Step 4: Simplify right side
    275,444x = 341,006,945,764
  5. Step 5: Solve for x
    x = 341,006,945,764/275,444
  6. Step 6: Final answer
    x = 1,238,026.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.