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Finding the Third Proportional to 281,230 and 606,658

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Solution

The third proportional to 281,230 and 606,658 is: 1,308,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,230 : 606,658 = 606,658 : x
  2. Step 2: Convert to fraction form
    281,230/606,658 = 606,658/x
  3. Step 3: Cross multiply
    281,230x = 606,658 × 606,658
  4. Step 4: Simplify right side
    281,230x = 368,033,928,964
  5. Step 5: Solve for x
    x = 368,033,928,964/281,230
  6. Step 6: Final answer
    x = 1,308,658.14

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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.