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Finding the Third Proportional to 231,914.63 and 498,888

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Solution

The third proportional to 231,914.63 and 498,888 is: 1,073,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,914.63 : 498,888 = 498,888 : x
  2. Step 2: Convert to fraction form
    231,914.63/498,888 = 498,888/x
  3. Step 3: Cross multiply
    231,914.63x = 498,888 × 498,888
  4. Step 4: Simplify right side
    231,914.63x = 248,889,236,544
  5. Step 5: Solve for x
    x = 248,889,236,544/231,914.63
  6. Step 6: Final answer
    x = 1,073,193.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.