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Finding the Third Proportional to 208,423.50 and 454,983

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Solution

The third proportional to 208,423.50 and 454,983 is: 993,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,423.50 : 454,983 = 454,983 : x
  2. Step 2: Convert to fraction form
    208,423.50/454,983 = 454,983/x
  3. Step 3: Cross multiply
    208,423.50x = 454,983 × 454,983
  4. Step 4: Simplify right side
    208,423.50x = 207,009,530,289
  5. Step 5: Solve for x
    x = 207,009,530,289/208,423.50
  6. Step 6: Final answer
    x = 993,215.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.