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Finding the Third Proportional to 493,238.25 and 668,412

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Solution

The third proportional to 493,238.25 and 668,412 is: 905,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,238.25 : 668,412 = 668,412 : x
  2. Step 2: Convert to fraction form
    493,238.25/668,412 = 668,412/x
  3. Step 3: Cross multiply
    493,238.25x = 668,412 × 668,412
  4. Step 4: Simplify right side
    493,238.25x = 446,774,601,744
  5. Step 5: Solve for x
    x = 446,774,601,744/493,238.25
  6. Step 6: Final answer
    x = 905,798.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.