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Finding the Third Proportional to 333,206 and 529,329

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Solution

The third proportional to 333,206 and 529,329 is: 840,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,206 : 529,329 = 529,329 : x
  2. Step 2: Convert to fraction form
    333,206/529,329 = 529,329/x
  3. Step 3: Cross multiply
    333,206x = 529,329 × 529,329
  4. Step 4: Simplify right side
    333,206x = 280,189,190,241
  5. Step 5: Solve for x
    x = 280,189,190,241/333,206
  6. Step 6: Final answer
    x = 840,888.79

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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.