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Finding the Third Proportional to 333,186 and 529,917

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Solution

The third proportional to 333,186 and 529,917 is: 842,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,186 : 529,917 = 529,917 : x
  2. Step 2: Convert to fraction form
    333,186/529,917 = 529,917/x
  3. Step 3: Cross multiply
    333,186x = 529,917 × 529,917
  4. Step 4: Simplify right side
    333,186x = 280,812,026,889
  5. Step 5: Solve for x
    x = 280,812,026,889/333,186
  6. Step 6: Final answer
    x = 842,808.60

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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.