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Finding the Third Proportional to 374,021.25 and 822,765

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Solution

The third proportional to 374,021.25 and 822,765 is: 1,809,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,021.25 : 822,765 = 822,765 : x
  2. Step 2: Convert to fraction form
    374,021.25/822,765 = 822,765/x
  3. Step 3: Cross multiply
    374,021.25x = 822,765 × 822,765
  4. Step 4: Simplify right side
    374,021.25x = 676,942,245,225
  5. Step 5: Solve for x
    x = 676,942,245,225/374,021.25
  6. Step 6: Final answer
    x = 1,809,903.17

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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.