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Finding the Third Proportional to 333,174 and 529,899

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Solution

The third proportional to 333,174 and 529,899 is: 842,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,174 : 529,899 = 529,899 : x
  2. Step 2: Convert to fraction form
    333,174/529,899 = 529,899/x
  3. Step 3: Cross multiply
    333,174x = 529,899 × 529,899
  4. Step 4: Simplify right side
    333,174x = 280,792,950,201
  5. Step 5: Solve for x
    x = 280,792,950,201/333,174
  6. Step 6: Final answer
    x = 842,781.70

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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.