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Finding the Third Proportional to 281,904 and 412,272

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Solution

The third proportional to 281,904 and 412,272 is: 602,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,904 : 412,272 = 412,272 : x
  2. Step 2: Convert to fraction form
    281,904/412,272 = 412,272/x
  3. Step 3: Cross multiply
    281,904x = 412,272 × 412,272
  4. Step 4: Simplify right side
    281,904x = 169,968,201,984
  5. Step 5: Solve for x
    x = 169,968,201,984/281,904
  6. Step 6: Final answer
    x = 602,929.37

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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.