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Finding the Third Proportional to 333,176 and 529,902

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Solution

The third proportional to 333,176 and 529,902 is: 842,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,176 : 529,902 = 529,902 : x
  2. Step 2: Convert to fraction form
    333,176/529,902 = 529,902/x
  3. Step 3: Cross multiply
    333,176x = 529,902 × 529,902
  4. Step 4: Simplify right side
    333,176x = 280,796,129,604
  5. Step 5: Solve for x
    x = 280,796,129,604/333,176
  6. Step 6: Final answer
    x = 842,786.18

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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.