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Finding the Third Proportional to 228,538.69 and 492,197.06

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Solution

The third proportional to 228,538.69 and 492,197.06 is: 1,060,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,538.69 : 492,197.06 = 492,197.06 : x
  2. Step 2: Convert to fraction form
    228,538.69/492,197.06 = 492,197.06/x
  3. Step 3: Cross multiply
    228,538.69x = 492,197.06 × 492,197.06
  4. Step 4: Simplify right side
    228,538.69x = 242,257,948,333.63
  5. Step 5: Solve for x
    x = 242,257,948,333.63/228,538.69
  6. Step 6: Final answer
    x = 1,060,030.37

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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.