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Finding the Third Proportional to 281,111 and 614,647

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Solution

The third proportional to 281,111 and 614,647 is: 1,343,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,111 : 614,647 = 614,647 : x
  2. Step 2: Convert to fraction form
    281,111/614,647 = 614,647/x
  3. Step 3: Cross multiply
    281,111x = 614,647 × 614,647
  4. Step 4: Simplify right side
    281,111x = 377,790,934,609
  5. Step 5: Solve for x
    x = 377,790,934,609/281,111
  6. Step 6: Final answer
    x = 1,343,920.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.