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Finding the Third Proportional to 374,519 and 529,932

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Solution

The third proportional to 374,519 and 529,932 is: 749,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,519 : 529,932 = 529,932 : x
  2. Step 2: Convert to fraction form
    374,519/529,932 = 529,932/x
  3. Step 3: Cross multiply
    374,519x = 529,932 × 529,932
  4. Step 4: Simplify right side
    374,519x = 280,827,924,624
  5. Step 5: Solve for x
    x = 280,827,924,624/374,519
  6. Step 6: Final answer
    x = 749,836.26

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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.