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Finding the Third Proportional to 552,569.63 and 825,441.75

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Solution

The third proportional to 552,569.63 and 825,441.75 is: 1,233,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,569.63 : 825,441.75 = 825,441.75 : x
  2. Step 2: Convert to fraction form
    552,569.63/825,441.75 = 825,441.75/x
  3. Step 3: Cross multiply
    552,569.63x = 825,441.75 × 825,441.75
  4. Step 4: Simplify right side
    552,569.63x = 681,354,082,643.06
  5. Step 5: Solve for x
    x = 681,354,082,643.06/552,569.63
  6. Step 6: Final answer
    x = 1,233,064.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.