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Finding the Third Proportional to 344,310 and 743,004

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Solution

The third proportional to 344,310 and 743,004 is: 1,603,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,310 : 743,004 = 743,004 : x
  2. Step 2: Convert to fraction form
    344,310/743,004 = 743,004/x
  3. Step 3: Cross multiply
    344,310x = 743,004 × 743,004
  4. Step 4: Simplify right side
    344,310x = 552,054,944,016
  5. Step 5: Solve for x
    x = 552,054,944,016/344,310
  6. Step 6: Final answer
    x = 1,603,365.99

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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.