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Finding the Third Proportional to 335,984.63 and 725,415.75

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Solution

The third proportional to 335,984.63 and 725,415.75 is: 1,566,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,984.63 : 725,415.75 = 725,415.75 : x
  2. Step 2: Convert to fraction form
    335,984.63/725,415.75 = 725,415.75/x
  3. Step 3: Cross multiply
    335,984.63x = 725,415.75 × 725,415.75
  4. Step 4: Simplify right side
    335,984.63x = 526,228,010,348.06
  5. Step 5: Solve for x
    x = 526,228,010,348.06/335,984.63
  6. Step 6: Final answer
    x = 1,566,226.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.