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Finding the Third Proportional to 381,604 and 560,742

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Solution

The third proportional to 381,604 and 560,742 is: 823,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,604 : 560,742 = 560,742 : x
  2. Step 2: Convert to fraction form
    381,604/560,742 = 560,742/x
  3. Step 3: Cross multiply
    381,604x = 560,742 × 560,742
  4. Step 4: Simplify right side
    381,604x = 314,431,590,564
  5. Step 5: Solve for x
    x = 314,431,590,564/381,604
  6. Step 6: Final answer
    x = 823,973.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.