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Finding the Third Proportional to 381,626 and 560,770

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Solution

The third proportional to 381,626 and 560,770 is: 824,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,626 : 560,770 = 560,770 : x
  2. Step 2: Convert to fraction form
    381,626/560,770 = 560,770/x
  3. Step 3: Cross multiply
    381,626x = 560,770 × 560,770
  4. Step 4: Simplify right side
    381,626x = 314,462,992,900
  5. Step 5: Solve for x
    x = 314,462,992,900/381,626
  6. Step 6: Final answer
    x = 824,008.30

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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.