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Finding the Third Proportional to 351,100 and 529,752

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Solution

The third proportional to 351,100 and 529,752 is: 799,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,100 : 529,752 = 529,752 : x
  2. Step 2: Convert to fraction form
    351,100/529,752 = 529,752/x
  3. Step 3: Cross multiply
    351,100x = 529,752 × 529,752
  4. Step 4: Simplify right side
    351,100x = 280,637,181,504
  5. Step 5: Solve for x
    x = 280,637,181,504/351,100
  6. Step 6: Final answer
    x = 799,308.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.