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Finding the Third Proportional to 333,170 and 529,894

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Solution

The third proportional to 333,170 and 529,894 is: 842,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,170 : 529,894 = 529,894 : x
  2. Step 2: Convert to fraction form
    333,170/529,894 = 529,894/x
  3. Step 3: Cross multiply
    333,170x = 529,894 × 529,894
  4. Step 4: Simplify right side
    333,170x = 280,787,651,236
  5. Step 5: Solve for x
    x = 280,787,651,236/333,170
  6. Step 6: Final answer
    x = 842,775.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.