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Finding the Third Proportional to 281,235 and 606,669

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Solution

The third proportional to 281,235 and 606,669 is: 1,308,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,235 : 606,669 = 606,669 : x
  2. Step 2: Convert to fraction form
    281,235/606,669 = 606,669/x
  3. Step 3: Cross multiply
    281,235x = 606,669 × 606,669
  4. Step 4: Simplify right side
    281,235x = 368,047,275,561
  5. Step 5: Solve for x
    x = 368,047,275,561/281,235
  6. Step 6: Final answer
    x = 1,308,682.33

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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.