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Finding the Third Proportional to 333,174 and 529,900

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Solution

The third proportional to 333,174 and 529,900 is: 842,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,174 : 529,900 = 529,900 : x
  2. Step 2: Convert to fraction form
    333,174/529,900 = 529,900/x
  3. Step 3: Cross multiply
    333,174x = 529,900 × 529,900
  4. Step 4: Simplify right side
    333,174x = 280,794,010,000
  5. Step 5: Solve for x
    x = 280,794,010,000/333,174
  6. Step 6: Final answer
    x = 842,784.88

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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.