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Finding the Third Proportional to 413,525.25 and 638,421.75

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Solution

The third proportional to 413,525.25 and 638,421.75 is: 985,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525.25 : 638,421.75 = 638,421.75 : x
  2. Step 2: Convert to fraction form
    413,525.25/638,421.75 = 638,421.75/x
  3. Step 3: Cross multiply
    413,525.25x = 638,421.75 × 638,421.75
  4. Step 4: Simplify right side
    413,525.25x = 407,582,330,873.06
  5. Step 5: Solve for x
    x = 407,582,330,873.06/413,525.25
  6. Step 6: Final answer
    x = 985,628.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.