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Finding the Third Proportional to 269,298 and 583,170

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Solution

The third proportional to 269,298 and 583,170 is: 1,262,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,298 : 583,170 = 583,170 : x
  2. Step 2: Convert to fraction form
    269,298/583,170 = 583,170/x
  3. Step 3: Cross multiply
    269,298x = 583,170 × 583,170
  4. Step 4: Simplify right side
    269,298x = 340,087,248,900
  5. Step 5: Solve for x
    x = 340,087,248,900/269,298
  6. Step 6: Final answer
    x = 1,262,865.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.