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Finding the Third Proportional to 223,530 and 435,816

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Solution

The third proportional to 223,530 and 435,816 is: 849,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,530 : 435,816 = 435,816 : x
  2. Step 2: Convert to fraction form
    223,530/435,816 = 435,816/x
  3. Step 3: Cross multiply
    223,530x = 435,816 × 435,816
  4. Step 4: Simplify right side
    223,530x = 189,935,585,856
  5. Step 5: Solve for x
    x = 189,935,585,856/223,530
  6. Step 6: Final answer
    x = 849,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.