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Finding the Third Proportional to 333,156 and 529,860

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Solution

The third proportional to 333,156 and 529,860 is: 842,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,156 : 529,860 = 529,860 : x
  2. Step 2: Convert to fraction form
    333,156/529,860 = 529,860/x
  3. Step 3: Cross multiply
    333,156x = 529,860 × 529,860
  4. Step 4: Simplify right side
    333,156x = 280,751,619,600
  5. Step 5: Solve for x
    x = 280,751,619,600/333,156
  6. Step 6: Final answer
    x = 842,703.18

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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.