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Finding the Third Proportional to 281,240 and 606,678

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Solution

The third proportional to 281,240 and 606,678 is: 1,308,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,240 : 606,678 = 606,678 : x
  2. Step 2: Convert to fraction form
    281,240/606,678 = 606,678/x
  3. Step 3: Cross multiply
    281,240x = 606,678 × 606,678
  4. Step 4: Simplify right side
    281,240x = 368,058,195,684
  5. Step 5: Solve for x
    x = 368,058,195,684/281,240
  6. Step 6: Final answer
    x = 1,308,697.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.