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Finding the Third Proportional to 233,295.75 and 491,494.50

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Solution

The third proportional to 233,295.75 and 491,494.50 is: 1,035,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 491,494.50 = 491,494.50 : x
  2. Step 2: Convert to fraction form
    233,295.75/491,494.50 = 491,494.50/x
  3. Step 3: Cross multiply
    233,295.75x = 491,494.50 × 491,494.50
  4. Step 4: Simplify right side
    233,295.75x = 241,566,843,530.25
  5. Step 5: Solve for x
    x = 241,566,843,530.25/233,295.75
  6. Step 6: Final answer
    x = 1,035,453.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.