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Finding the Third Proportional to 553,533.75 and 826,028.72

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Solution

The third proportional to 553,533.75 and 826,028.72 is: 1,232,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,533.75 : 826,028.72 = 826,028.72 : x
  2. Step 2: Convert to fraction form
    553,533.75/826,028.72 = 826,028.72/x
  3. Step 3: Cross multiply
    553,533.75x = 826,028.72 × 826,028.72
  4. Step 4: Simplify right side
    553,533.75x = 682,323,444,199.77
  5. Step 5: Solve for x
    x = 682,323,444,199.77/553,533.75
  6. Step 6: Final answer
    x = 1,232,668.19

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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.