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Finding the Third Proportional to 269,325 and 583,222

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Solution

The third proportional to 269,325 and 583,222 is: 1,262,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,325 : 583,222 = 583,222 : x
  2. Step 2: Convert to fraction form
    269,325/583,222 = 583,222/x
  3. Step 3: Cross multiply
    269,325x = 583,222 × 583,222
  4. Step 4: Simplify right side
    269,325x = 340,147,901,284
  5. Step 5: Solve for x
    x = 340,147,901,284/269,325
  6. Step 6: Final answer
    x = 1,262,964.45

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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.