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Finding the Third Proportional to 305,339.63 and 652,610.25

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Solution

The third proportional to 305,339.63 and 652,610.25 is: 1,394,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,339.63 : 652,610.25 = 652,610.25 : x
  2. Step 2: Convert to fraction form
    305,339.63/652,610.25 = 652,610.25/x
  3. Step 3: Cross multiply
    305,339.63x = 652,610.25 × 652,610.25
  4. Step 4: Simplify right side
    305,339.63x = 425,900,138,405.06
  5. Step 5: Solve for x
    x = 425,900,138,405.06/305,339.63
  6. Step 6: Final answer
    x = 1,394,840.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.