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Finding the Third Proportional to 265,572.75 and 622,135.75

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Solution

The third proportional to 265,572.75 and 622,135.75 is: 1,457,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,572.75 : 622,135.75 = 622,135.75 : x
  2. Step 2: Convert to fraction form
    265,572.75/622,135.75 = 622,135.75/x
  3. Step 3: Cross multiply
    265,572.75x = 622,135.75 × 622,135.75
  4. Step 4: Simplify right side
    265,572.75x = 387,052,891,428.06
  5. Step 5: Solve for x
    x = 387,052,891,428.06/265,572.75
  6. Step 6: Final answer
    x = 1,457,426.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.