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Finding the Third Proportional to 382,212 and 573,253

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Solution

The third proportional to 382,212 and 573,253 is: 859,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,212 : 573,253 = 573,253 : x
  2. Step 2: Convert to fraction form
    382,212/573,253 = 573,253/x
  3. Step 3: Cross multiply
    382,212x = 573,253 × 573,253
  4. Step 4: Simplify right side
    382,212x = 328,619,002,009
  5. Step 5: Solve for x
    x = 328,619,002,009/382,212
  6. Step 6: Final answer
    x = 859,782.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.