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Finding the Third Proportional to 231,914.25 and 492,259.50

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Solution

The third proportional to 231,914.25 and 492,259.50 is: 1,044,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,914.25 : 492,259.50 = 492,259.50 : x
  2. Step 2: Convert to fraction form
    231,914.25/492,259.50 = 492,259.50/x
  3. Step 3: Cross multiply
    231,914.25x = 492,259.50 × 492,259.50
  4. Step 4: Simplify right side
    231,914.25x = 242,319,415,340.25
  5. Step 5: Solve for x
    x = 242,319,415,340.25/231,914.25
  6. Step 6: Final answer
    x = 1,044,866.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.