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Finding the Third Proportional to 281,436 and 574,356

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Solution

The third proportional to 281,436 and 574,356 is: 1,172,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,436 : 574,356 = 574,356 : x
  2. Step 2: Convert to fraction form
    281,436/574,356 = 574,356/x
  3. Step 3: Cross multiply
    281,436x = 574,356 × 574,356
  4. Step 4: Simplify right side
    281,436x = 329,884,814,736
  5. Step 5: Solve for x
    x = 329,884,814,736/281,436
  6. Step 6: Final answer
    x = 1,172,148.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.