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Finding the Third Proportional to 281,236 and 606,670

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Solution

The third proportional to 281,236 and 606,670 is: 1,308,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,236 : 606,670 = 606,670 : x
  2. Step 2: Convert to fraction form
    281,236/606,670 = 606,670/x
  3. Step 3: Cross multiply
    281,236x = 606,670 × 606,670
  4. Step 4: Simplify right side
    281,236x = 368,048,488,900
  5. Step 5: Solve for x
    x = 368,048,488,900/281,236
  6. Step 6: Final answer
    x = 1,308,681.99

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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.