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Finding the Third Proportional to 344,333 and 743,994

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Solution

The third proportional to 344,333 and 743,994 is: 1,607,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,333 : 743,994 = 743,994 : x
  2. Step 2: Convert to fraction form
    344,333/743,994 = 743,994/x
  3. Step 3: Cross multiply
    344,333x = 743,994 × 743,994
  4. Step 4: Simplify right side
    344,333x = 553,527,072,036
  5. Step 5: Solve for x
    x = 553,527,072,036/344,333
  6. Step 6: Final answer
    x = 1,607,534.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.