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Finding the Third Proportional to 299,518 and 651,512

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Solution

The third proportional to 299,518 and 651,512 is: 1,417,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,518 : 651,512 = 651,512 : x
  2. Step 2: Convert to fraction form
    299,518/651,512 = 651,512/x
  3. Step 3: Cross multiply
    299,518x = 651,512 × 651,512
  4. Step 4: Simplify right side
    299,518x = 424,467,886,144
  5. Step 5: Solve for x
    x = 424,467,886,144/299,518
  6. Step 6: Final answer
    x = 1,417,169.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.