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Finding the Third Proportional to 281,592 and 439,668

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Solution

The third proportional to 281,592 and 439,668 is: 686,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,592 : 439,668 = 439,668 : x
  2. Step 2: Convert to fraction form
    281,592/439,668 = 439,668/x
  3. Step 3: Cross multiply
    281,592x = 439,668 × 439,668
  4. Step 4: Simplify right side
    281,592x = 193,307,950,224
  5. Step 5: Solve for x
    x = 193,307,950,224/281,592
  6. Step 6: Final answer
    x = 686,482.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.