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Finding the Third Proportional to 352,770 and 775,773

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Solution

The third proportional to 352,770 and 775,773 is: 1,705,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,770 : 775,773 = 775,773 : x
  2. Step 2: Convert to fraction form
    352,770/775,773 = 775,773/x
  3. Step 3: Cross multiply
    352,770x = 775,773 × 775,773
  4. Step 4: Simplify right side
    352,770x = 601,823,747,529
  5. Step 5: Solve for x
    x = 601,823,747,529/352,770
  6. Step 6: Final answer
    x = 1,705,994.69

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