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Finding the Third Proportional to 374,315 and 529,634

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Solution

The third proportional to 374,315 and 529,634 is: 749,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,315 : 529,634 = 529,634 : x
  2. Step 2: Convert to fraction form
    374,315/529,634 = 529,634/x
  3. Step 3: Cross multiply
    374,315x = 529,634 × 529,634
  4. Step 4: Simplify right side
    374,315x = 280,512,173,956
  5. Step 5: Solve for x
    x = 280,512,173,956/374,315
  6. Step 6: Final answer
    x = 749,401.37

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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.