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Finding the Third Proportional to 343,994.34 and 505,880.44

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Solution

The third proportional to 343,994.34 and 505,880.44 is: 743,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,994.34 : 505,880.44 = 505,880.44 : x
  2. Step 2: Convert to fraction form
    343,994.34/505,880.44 = 505,880.44/x
  3. Step 3: Cross multiply
    343,994.34x = 505,880.44 × 505,880.44
  4. Step 4: Simplify right side
    343,994.34x = 255,915,017,045.19
  5. Step 5: Solve for x
    x = 255,915,017,045.19/343,994.34
  6. Step 6: Final answer
    x = 743,951.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.