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Finding the Third Proportional to 269,322 and 583,216

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Solution

The third proportional to 269,322 and 583,216 is: 1,262,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,322 : 583,216 = 583,216 : x
  2. Step 2: Convert to fraction form
    269,322/583,216 = 583,216/x
  3. Step 3: Cross multiply
    269,322x = 583,216 × 583,216
  4. Step 4: Simplify right side
    269,322x = 340,140,902,656
  5. Step 5: Solve for x
    x = 340,140,902,656/269,322
  6. Step 6: Final answer
    x = 1,262,952.54

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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.