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Finding the Third Proportional to 228,964.50 and 496,065

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Solution

The third proportional to 228,964.50 and 496,065 is: 1,074,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,964.50 : 496,065 = 496,065 : x
  2. Step 2: Convert to fraction form
    228,964.50/496,065 = 496,065/x
  3. Step 3: Cross multiply
    228,964.50x = 496,065 × 496,065
  4. Step 4: Simplify right side
    228,964.50x = 246,080,484,225
  5. Step 5: Solve for x
    x = 246,080,484,225/228,964.50
  6. Step 6: Final answer
    x = 1,074,753.88

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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.