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Finding the Third Proportional to 362,032 and 795,290

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Solution

The third proportional to 362,032 and 795,290 is: 1,747,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,032 : 795,290 = 795,290 : x
  2. Step 2: Convert to fraction form
    362,032/795,290 = 795,290/x
  3. Step 3: Cross multiply
    362,032x = 795,290 × 795,290
  4. Step 4: Simplify right side
    362,032x = 632,486,184,100
  5. Step 5: Solve for x
    x = 632,486,184,100/362,032
  6. Step 6: Final answer
    x = 1,747,044.97

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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.