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Finding the Third Proportional to 235,740 and 485,088

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Solution

The third proportional to 235,740 and 485,088 is: 998,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,740 : 485,088 = 485,088 : x
  2. Step 2: Convert to fraction form
    235,740/485,088 = 485,088/x
  3. Step 3: Cross multiply
    235,740x = 485,088 × 485,088
  4. Step 4: Simplify right side
    235,740x = 235,310,367,744
  5. Step 5: Solve for x
    x = 235,310,367,744/235,740
  6. Step 6: Final answer
    x = 998,177.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.