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Finding the Third Proportional to 381,024 and 827,712

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Solution

The third proportional to 381,024 and 827,712 is: 1,798,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,024 : 827,712 = 827,712 : x
  2. Step 2: Convert to fraction form
    381,024/827,712 = 827,712/x
  3. Step 3: Cross multiply
    381,024x = 827,712 × 827,712
  4. Step 4: Simplify right side
    381,024x = 685,107,154,944
  5. Step 5: Solve for x
    x = 685,107,154,944/381,024
  6. Step 6: Final answer
    x = 1,798,068.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.