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Finding the Third Proportional to 281,306 and 606,602

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Solution

The third proportional to 281,306 and 606,602 is: 1,308,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,306 : 606,602 = 606,602 : x
  2. Step 2: Convert to fraction form
    281,306/606,602 = 606,602/x
  3. Step 3: Cross multiply
    281,306x = 606,602 × 606,602
  4. Step 4: Simplify right side
    281,306x = 367,965,986,404
  5. Step 5: Solve for x
    x = 367,965,986,404/281,306
  6. Step 6: Final answer
    x = 1,308,063.06

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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.