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Finding the Third Proportional to 260,374.31 and 405,784.69

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Solution

The third proportional to 260,374.31 and 405,784.69 is: 632,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,374.31 : 405,784.69 = 405,784.69 : x
  2. Step 2: Convert to fraction form
    260,374.31/405,784.69 = 405,784.69/x
  3. Step 3: Cross multiply
    260,374.31x = 405,784.69 × 405,784.69
  4. Step 4: Simplify right side
    260,374.31x = 164,661,212,609.47
  5. Step 5: Solve for x
    x = 164,661,212,609.47/260,374.31
  6. Step 6: Final answer
    x = 632,401.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.