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Finding the Third Proportional to 230,783.25 and 484,892.25

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Solution

The third proportional to 230,783.25 and 484,892.25 is: 1,018,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,783.25 : 484,892.25 = 484,892.25 : x
  2. Step 2: Convert to fraction form
    230,783.25/484,892.25 = 484,892.25/x
  3. Step 3: Cross multiply
    230,783.25x = 484,892.25 × 484,892.25
  4. Step 4: Simplify right side
    230,783.25x = 235,120,494,110.06
  5. Step 5: Solve for x
    x = 235,120,494,110.06/230,783.25
  6. Step 6: Final answer
    x = 1,018,793.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.