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Finding the Third Proportional to 326,474.75 and 462,374.50

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Solution

The third proportional to 326,474.75 and 462,374.50 is: 654,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,474.75 : 462,374.50 = 462,374.50 : x
  2. Step 2: Convert to fraction form
    326,474.75/462,374.50 = 462,374.50/x
  3. Step 3: Cross multiply
    326,474.75x = 462,374.50 × 462,374.50
  4. Step 4: Simplify right side
    326,474.75x = 213,790,178,250.25
  5. Step 5: Solve for x
    x = 213,790,178,250.25/326,474.75
  6. Step 6: Final answer
    x = 654,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.