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Finding the Third Proportional to 281,940 and 412,326

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Solution

The third proportional to 281,940 and 412,326 is: 603,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,940 : 412,326 = 412,326 : x
  2. Step 2: Convert to fraction form
    281,940/412,326 = 412,326/x
  3. Step 3: Cross multiply
    281,940x = 412,326 × 412,326
  4. Step 4: Simplify right side
    281,940x = 170,012,730,276
  5. Step 5: Solve for x
    x = 170,012,730,276/281,940
  6. Step 6: Final answer
    x = 603,010.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.