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Finding the Third Proportional to 228,989 and 496,095.50

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Solution

The third proportional to 228,989 and 496,095.50 is: 1,074,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,989 : 496,095.50 = 496,095.50 : x
  2. Step 2: Convert to fraction form
    228,989/496,095.50 = 496,095.50/x
  3. Step 3: Cross multiply
    228,989x = 496,095.50 × 496,095.50
  4. Step 4: Simplify right side
    228,989x = 246,110,745,120.25
  5. Step 5: Solve for x
    x = 246,110,745,120.25/228,989
  6. Step 6: Final answer
    x = 1,074,771.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.