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Finding the Third Proportional to 326,907 and 492,241.50

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Solution

The third proportional to 326,907 and 492,241.50 is: 741,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,907 : 492,241.50 = 492,241.50 : x
  2. Step 2: Convert to fraction form
    326,907/492,241.50 = 492,241.50/x
  3. Step 3: Cross multiply
    326,907x = 492,241.50 × 492,241.50
  4. Step 4: Simplify right side
    326,907x = 242,301,694,322.25
  5. Step 5: Solve for x
    x = 242,301,694,322.25/326,907
  6. Step 6: Final answer
    x = 741,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.