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Finding the Third Proportional to 275,444 and 583,956

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Solution

The third proportional to 275,444 and 583,956 is: 1,238,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,444 : 583,956 = 583,956 : x
  2. Step 2: Convert to fraction form
    275,444/583,956 = 583,956/x
  3. Step 3: Cross multiply
    275,444x = 583,956 × 583,956
  4. Step 4: Simplify right side
    275,444x = 341,004,609,936
  5. Step 5: Solve for x
    x = 341,004,609,936/275,444
  6. Step 6: Final answer
    x = 1,238,017.93

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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.