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Finding the Third Proportional to 281,880 and 386,532

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Solution

The third proportional to 281,880 and 386,532 is: 530,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,880 : 386,532 = 386,532 : x
  2. Step 2: Convert to fraction form
    281,880/386,532 = 386,532/x
  3. Step 3: Cross multiply
    281,880x = 386,532 × 386,532
  4. Step 4: Simplify right side
    281,880x = 149,406,987,024
  5. Step 5: Solve for x
    x = 149,406,987,024/281,880
  6. Step 6: Final answer
    x = 530,037.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.