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Finding the Third Proportional to 313,450,170 and 731,957,430

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Solution

The third proportional to 313,450,170 and 731,957,430 is: 1,709,240,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,450,170 : 731,957,430 = 731,957,430 : x
  2. Step 2: Convert to fraction form
    313,450,170/731,957,430 = 731,957,430/x
  3. Step 3: Cross multiply
    313,450,170x = 731,957,430 × 731,957,430
  4. Step 4: Simplify right side
    313,450,170x = 535,761,679,332,204,928
  5. Step 5: Solve for x
    x = 535,761,679,332,204,928/313,450,170
  6. Step 6: Final answer
    x = 1,709,240,353.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.