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Finding the Third Proportional to 381,030 and 827,724

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Solution

The third proportional to 381,030 and 827,724 is: 1,798,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,030 : 827,724 = 827,724 : x
  2. Step 2: Convert to fraction form
    381,030/827,724 = 827,724/x
  3. Step 3: Cross multiply
    381,030x = 827,724 × 827,724
  4. Step 4: Simplify right side
    381,030x = 685,127,020,176
  5. Step 5: Solve for x
    x = 685,127,020,176/381,030
  6. Step 6: Final answer
    x = 1,798,092.07

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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.