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Finding the Third Proportional to 374,513 and 529,925

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Solution

The third proportional to 374,513 and 529,925 is: 749,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,513 : 529,925 = 529,925 : x
  2. Step 2: Convert to fraction form
    374,513/529,925 = 529,925/x
  3. Step 3: Cross multiply
    374,513x = 529,925 × 529,925
  4. Step 4: Simplify right side
    374,513x = 280,820,505,625
  5. Step 5: Solve for x
    x = 280,820,505,625/374,513
  6. Step 6: Final answer
    x = 749,828.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.