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Finding the Third Proportional to 341,801 and 530,615

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Solution

The third proportional to 341,801 and 530,615 is: 823,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,801 : 530,615 = 530,615 : x
  2. Step 2: Convert to fraction form
    341,801/530,615 = 530,615/x
  3. Step 3: Cross multiply
    341,801x = 530,615 × 530,615
  4. Step 4: Simplify right side
    341,801x = 281,552,278,225
  5. Step 5: Solve for x
    x = 281,552,278,225/341,801
  6. Step 6: Final answer
    x = 823,731.58

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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.