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Finding the Third Proportional to 433,326 and 966,230

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Solution

The third proportional to 433,326 and 966,230 is: 2,154,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,326 : 966,230 = 966,230 : x
  2. Step 2: Convert to fraction form
    433,326/966,230 = 966,230/x
  3. Step 3: Cross multiply
    433,326x = 966,230 × 966,230
  4. Step 4: Simplify right side
    433,326x = 933,600,412,900
  5. Step 5: Solve for x
    x = 933,600,412,900/433,326
  6. Step 6: Final answer
    x = 2,154,498.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.