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Finding the Third Proportional to 299,529 and 651,546

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Solution

The third proportional to 299,529 and 651,546 is: 1,417,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,529 : 651,546 = 651,546 : x
  2. Step 2: Convert to fraction form
    299,529/651,546 = 651,546/x
  3. Step 3: Cross multiply
    299,529x = 651,546 × 651,546
  4. Step 4: Simplify right side
    299,529x = 424,512,190,116
  5. Step 5: Solve for x
    x = 424,512,190,116/299,529
  6. Step 6: Final answer
    x = 1,417,265.74

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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.