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Finding the Third Proportional to 381,024 and 814,590

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Solution

The third proportional to 381,024 and 814,590 is: 1,741,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,024 : 814,590 = 814,590 : x
  2. Step 2: Convert to fraction form
    381,024/814,590 = 814,590/x
  3. Step 3: Cross multiply
    381,024x = 814,590 × 814,590
  4. Step 4: Simplify right side
    381,024x = 663,556,868,100
  5. Step 5: Solve for x
    x = 663,556,868,100/381,024
  6. Step 6: Final answer
    x = 1,741,509.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.