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Finding the Third Proportional to 413,458 and 622,606.50

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Solution

The third proportional to 413,458 and 622,606.50 is: 937,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,458 : 622,606.50 = 622,606.50 : x
  2. Step 2: Convert to fraction form
    413,458/622,606.50 = 622,606.50/x
  3. Step 3: Cross multiply
    413,458x = 622,606.50 × 622,606.50
  4. Step 4: Simplify right side
    413,458x = 387,638,853,842.25
  5. Step 5: Solve for x
    x = 387,638,853,842.25/413,458
  6. Step 6: Final answer
    x = 937,553.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.