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Finding the Third Proportional to 228,539.25 and 492,199.88

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Solution

The third proportional to 228,539.25 and 492,199.88 is: 1,060,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,539.25 : 492,199.88 = 492,199.88 : x
  2. Step 2: Convert to fraction form
    228,539.25/492,199.88 = 492,199.88/x
  3. Step 3: Cross multiply
    228,539.25x = 492,199.88 × 492,199.88
  4. Step 4: Simplify right side
    228,539.25x = 242,260,716,950.02
  5. Step 5: Solve for x
    x = 242,260,716,950.02/228,539.25
  6. Step 6: Final answer
    x = 1,060,039.87

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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.