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Finding the Third Proportional to 333,206 and 529,937

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Solution

The third proportional to 333,206 and 529,937 is: 842,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,206 : 529,937 = 529,937 : x
  2. Step 2: Convert to fraction form
    333,206/529,937 = 529,937/x
  3. Step 3: Cross multiply
    333,206x = 529,937 × 529,937
  4. Step 4: Simplify right side
    333,206x = 280,833,223,969
  5. Step 5: Solve for x
    x = 280,833,223,969/333,206
  6. Step 6: Final answer
    x = 842,821.63

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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.