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Finding the Third Proportional to 362,024 and 795,274

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Solution

The third proportional to 362,024 and 795,274 is: 1,747,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,024 : 795,274 = 795,274 : x
  2. Step 2: Convert to fraction form
    362,024/795,274 = 795,274/x
  3. Step 3: Cross multiply
    362,024x = 795,274 × 795,274
  4. Step 4: Simplify right side
    362,024x = 632,460,735,076
  5. Step 5: Solve for x
    x = 632,460,735,076/362,024
  6. Step 6: Final answer
    x = 1,747,013.28

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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.