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Finding the Third Proportional to 281,496 and 609,972

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Solution

The third proportional to 281,496 and 609,972 is: 1,321,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,496 : 609,972 = 609,972 : x
  2. Step 2: Convert to fraction form
    281,496/609,972 = 609,972/x
  3. Step 3: Cross multiply
    281,496x = 609,972 × 609,972
  4. Step 4: Simplify right side
    281,496x = 372,065,840,784
  5. Step 5: Solve for x
    x = 372,065,840,784/281,496
  6. Step 6: Final answer
    x = 1,321,744.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.