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Finding the Third Proportional to 362,016 and 795,258

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Solution

The third proportional to 362,016 and 795,258 is: 1,746,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,016 : 795,258 = 795,258 : x
  2. Step 2: Convert to fraction form
    362,016/795,258 = 795,258/x
  3. Step 3: Cross multiply
    362,016x = 795,258 × 795,258
  4. Step 4: Simplify right side
    362,016x = 632,435,286,564
  5. Step 5: Solve for x
    x = 632,435,286,564/362,016
  6. Step 6: Final answer
    x = 1,746,981.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.