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Finding the Third Proportional to 301,862.63 and 628,527.75

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Solution

The third proportional to 301,862.63 and 628,527.75 is: 1,308,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.63 : 628,527.75 = 628,527.75 : x
  2. Step 2: Convert to fraction form
    301,862.63/628,527.75 = 628,527.75/x
  3. Step 3: Cross multiply
    301,862.63x = 628,527.75 × 628,527.75
  4. Step 4: Simplify right side
    301,862.63x = 395,047,132,520.06
  5. Step 5: Solve for x
    x = 395,047,132,520.06/301,862.63
  6. Step 6: Final answer
    x = 1,308,698.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.