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Finding the Third Proportional to 350,147 and 540,749

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Solution

The third proportional to 350,147 and 540,749 is: 835,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,147 : 540,749 = 540,749 : x
  2. Step 2: Convert to fraction form
    350,147/540,749 = 540,749/x
  3. Step 3: Cross multiply
    350,147x = 540,749 × 540,749
  4. Step 4: Simplify right side
    350,147x = 292,409,481,001
  5. Step 5: Solve for x
    x = 292,409,481,001/350,147
  6. Step 6: Final answer
    x = 835,104.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.