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Finding the Third Proportional to 344,368 and 743,104

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Solution

The third proportional to 344,368 and 743,104 is: 1,603,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,368 : 743,104 = 743,104 : x
  2. Step 2: Convert to fraction form
    344,368/743,104 = 743,104/x
  3. Step 3: Cross multiply
    344,368x = 743,104 × 743,104
  4. Step 4: Simplify right side
    344,368x = 552,203,554,816
  5. Step 5: Solve for x
    x = 552,203,554,816/344,368
  6. Step 6: Final answer
    x = 1,603,527.49

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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.