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Finding the Third Proportional to 300,066 and 651,651

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Solution

The third proportional to 300,066 and 651,651 is: 1,415,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,066 : 651,651 = 651,651 : x
  2. Step 2: Convert to fraction form
    300,066/651,651 = 651,651/x
  3. Step 3: Cross multiply
    300,066x = 651,651 × 651,651
  4. Step 4: Simplify right side
    300,066x = 424,649,025,801
  5. Step 5: Solve for x
    x = 424,649,025,801/300,066
  6. Step 6: Final answer
    x = 1,415,185.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.