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Finding the Third Proportional to 281,826 and 435,861

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Solution

The third proportional to 281,826 and 435,861 is: 674,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,826 : 435,861 = 435,861 : x
  2. Step 2: Convert to fraction form
    281,826/435,861 = 435,861/x
  3. Step 3: Cross multiply
    281,826x = 435,861 × 435,861
  4. Step 4: Simplify right side
    281,826x = 189,974,811,321
  5. Step 5: Solve for x
    x = 189,974,811,321/281,826
  6. Step 6: Final answer
    x = 674,085.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.