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Finding the Third Proportional to 333,008 and 529,652

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Solution

The third proportional to 333,008 and 529,652 is: 842,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,008 : 529,652 = 529,652 : x
  2. Step 2: Convert to fraction form
    333,008/529,652 = 529,652/x
  3. Step 3: Cross multiply
    333,008x = 529,652 × 529,652
  4. Step 4: Simplify right side
    333,008x = 280,531,241,104
  5. Step 5: Solve for x
    x = 280,531,241,104/333,008
  6. Step 6: Final answer
    x = 842,415.92

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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.