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Finding the Third Proportional to 344,014 and 505,904

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Solution

The third proportional to 344,014 and 505,904 is: 743,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,014 : 505,904 = 505,904 : x
  2. Step 2: Convert to fraction form
    344,014/505,904 = 505,904/x
  3. Step 3: Cross multiply
    344,014x = 505,904 × 505,904
  4. Step 4: Simplify right side
    344,014x = 255,938,857,216
  5. Step 5: Solve for x
    x = 255,938,857,216/344,014
  6. Step 6: Final answer
    x = 743,978.03

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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.