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Finding the Third Proportional to 269,974.90 and 583,241.77

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Solution

The third proportional to 269,974.90 and 583,241.77 is: 1,260,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,974.90 : 583,241.77 = 583,241.77 : x
  2. Step 2: Convert to fraction form
    269,974.90/583,241.77 = 583,241.77/x
  3. Step 3: Cross multiply
    269,974.90x = 583,241.77 × 583,241.77
  4. Step 4: Simplify right side
    269,974.90x = 340,170,957,169.37
  5. Step 5: Solve for x
    x = 340,170,957,169.37/269,974.90
  6. Step 6: Final answer
    x = 1,260,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.