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Finding the Third Proportional to 525,626.09 and 823,473.84

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Solution

The third proportional to 525,626.09 and 823,473.84 is: 1,290,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,626.09 : 823,473.84 = 823,473.84 : x
  2. Step 2: Convert to fraction form
    525,626.09/823,473.84 = 823,473.84/x
  3. Step 3: Cross multiply
    525,626.09x = 823,473.84 × 823,473.84
  4. Step 4: Simplify right side
    525,626.09x = 678,109,171,340.40
  5. Step 5: Solve for x
    x = 678,109,171,340.40/525,626.09
  6. Step 6: Final answer
    x = 1,290,098.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.