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Finding the Third Proportional to 301,936 and 651,164

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Solution

The third proportional to 301,936 and 651,164 is: 1,404,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,936 : 651,164 = 651,164 : x
  2. Step 2: Convert to fraction form
    301,936/651,164 = 651,164/x
  3. Step 3: Cross multiply
    301,936x = 651,164 × 651,164
  4. Step 4: Simplify right side
    301,936x = 424,014,554,896
  5. Step 5: Solve for x
    x = 424,014,554,896/301,936
  6. Step 6: Final answer
    x = 1,404,319.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.