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Finding the Third Proportional to 465,212 and 670,710

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Solution

The third proportional to 465,212 and 670,710 is: 966,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,212 : 670,710 = 670,710 : x
  2. Step 2: Convert to fraction form
    465,212/670,710 = 670,710/x
  3. Step 3: Cross multiply
    465,212x = 670,710 × 670,710
  4. Step 4: Simplify right side
    465,212x = 449,851,904,100
  5. Step 5: Solve for x
    x = 449,851,904,100/465,212
  6. Step 6: Final answer
    x = 966,982.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.