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Finding the Third Proportional to 424,935 and 622,093.50

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Solution

The third proportional to 424,935 and 622,093.50 is: 910,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,935 : 622,093.50 = 622,093.50 : x
  2. Step 2: Convert to fraction form
    424,935/622,093.50 = 622,093.50/x
  3. Step 3: Cross multiply
    424,935x = 622,093.50 × 622,093.50
  4. Step 4: Simplify right side
    424,935x = 387,000,322,742.25
  5. Step 5: Solve for x
    x = 387,000,322,742.25/424,935
  6. Step 6: Final answer
    x = 910,728.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.