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Finding the Third Proportional to 281,028 and 601,404

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Solution

The third proportional to 281,028 and 601,404 is: 1,287,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,028 : 601,404 = 601,404 : x
  2. Step 2: Convert to fraction form
    281,028/601,404 = 601,404/x
  3. Step 3: Cross multiply
    281,028x = 601,404 × 601,404
  4. Step 4: Simplify right side
    281,028x = 361,686,771,216
  5. Step 5: Solve for x
    x = 361,686,771,216/281,028
  6. Step 6: Final answer
    x = 1,287,013.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.