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Finding the Third Proportional to 344,670 and 504,990

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Solution

The third proportional to 344,670 and 504,990 is: 739,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,670 : 504,990 = 504,990 : x
  2. Step 2: Convert to fraction form
    344,670/504,990 = 504,990/x
  3. Step 3: Cross multiply
    344,670x = 504,990 × 504,990
  4. Step 4: Simplify right side
    344,670x = 255,014,900,100
  5. Step 5: Solve for x
    x = 255,014,900,100/344,670
  6. Step 6: Final answer
    x = 739,881.34

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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.