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Finding the Third Proportional to 352,623 and 775,221

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Solution

The third proportional to 352,623 and 775,221 is: 1,704,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,623 : 775,221 = 775,221 : x
  2. Step 2: Convert to fraction form
    352,623/775,221 = 775,221/x
  3. Step 3: Cross multiply
    352,623x = 775,221 × 775,221
  4. Step 4: Simplify right side
    352,623x = 600,967,598,841
  5. Step 5: Solve for x
    x = 600,967,598,841/352,623
  6. Step 6: Final answer
    x = 1,704,277.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.