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Finding the Third Proportional to 362,036 and 795,444

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Solution

The third proportional to 362,036 and 795,444 is: 1,747,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,036 : 795,444 = 795,444 : x
  2. Step 2: Convert to fraction form
    362,036/795,444 = 795,444/x
  3. Step 3: Cross multiply
    362,036x = 795,444 × 795,444
  4. Step 4: Simplify right side
    362,036x = 632,731,157,136
  5. Step 5: Solve for x
    x = 632,731,157,136/362,036
  6. Step 6: Final answer
    x = 1,747,702.32

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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.