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Finding the Third Proportional to 286,165.69 and 622,153.69

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Solution

The third proportional to 286,165.69 and 622,153.69 is: 1,352,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,165.69 : 622,153.69 = 622,153.69 : x
  2. Step 2: Convert to fraction form
    286,165.69/622,153.69 = 622,153.69/x
  3. Step 3: Cross multiply
    286,165.69x = 622,153.69 × 622,153.69
  4. Step 4: Simplify right side
    286,165.69x = 387,075,210,869.85
  5. Step 5: Solve for x
    x = 387,075,210,869.85/286,165.69
  6. Step 6: Final answer
    x = 1,352,626.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.