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Finding the Third Proportional to 344,148.75 and 504,559.13

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Solution

The third proportional to 344,148.75 and 504,559.13 is: 739,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,148.75 : 504,559.13 = 504,559.13 : x
  2. Step 2: Convert to fraction form
    344,148.75/504,559.13 = 504,559.13/x
  3. Step 3: Cross multiply
    344,148.75x = 504,559.13 × 504,559.13
  4. Step 4: Simplify right side
    344,148.75x = 254,579,910,620.77
  5. Step 5: Solve for x
    x = 254,579,910,620.77/344,148.75
  6. Step 6: Final answer
    x = 739,738.01

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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.