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Finding the Third Proportional to 355,968 and 550,992

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Solution

The third proportional to 355,968 and 550,992 is: 852,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,968 : 550,992 = 550,992 : x
  2. Step 2: Convert to fraction form
    355,968/550,992 = 550,992/x
  3. Step 3: Cross multiply
    355,968x = 550,992 × 550,992
  4. Step 4: Simplify right side
    355,968x = 303,592,184,064
  5. Step 5: Solve for x
    x = 303,592,184,064/355,968
  6. Step 6: Final answer
    x = 852,863.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.