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Finding the Third Proportional to 350,710 and 755,504

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Solution

The third proportional to 350,710 and 755,504 is: 1,627,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,710 : 755,504 = 755,504 : x
  2. Step 2: Convert to fraction form
    350,710/755,504 = 755,504/x
  3. Step 3: Cross multiply
    350,710x = 755,504 × 755,504
  4. Step 4: Simplify right side
    350,710x = 570,786,294,016
  5. Step 5: Solve for x
    x = 570,786,294,016/350,710
  6. Step 6: Final answer
    x = 1,627,516.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.