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Finding the Third Proportional to 344,945 and 754,015

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Solution

The third proportional to 344,945 and 754,015 is: 1,648,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,945 : 754,015 = 754,015 : x
  2. Step 2: Convert to fraction form
    344,945/754,015 = 754,015/x
  3. Step 3: Cross multiply
    344,945x = 754,015 × 754,015
  4. Step 4: Simplify right side
    344,945x = 568,538,620,225
  5. Step 5: Solve for x
    x = 568,538,620,225/344,945
  6. Step 6: Final answer
    x = 1,648,200.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.