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Finding the Third Proportional to 271,566 and 430,629

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Solution

The third proportional to 271,566 and 430,629 is: 682,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566 : 430,629 = 430,629 : x
  2. Step 2: Convert to fraction form
    271,566/430,629 = 430,629/x
  3. Step 3: Cross multiply
    271,566x = 430,629 × 430,629
  4. Step 4: Simplify right side
    271,566x = 185,441,335,641
  5. Step 5: Solve for x
    x = 185,441,335,641/271,566
  6. Step 6: Final answer
    x = 682,859.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.