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Finding the Third Proportional to 274,696.31 and 599,005.13

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Solution

The third proportional to 274,696.31 and 599,005.13 is: 1,306,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,696.31 : 599,005.13 = 599,005.13 : x
  2. Step 2: Convert to fraction form
    274,696.31/599,005.13 = 599,005.13/x
  3. Step 3: Cross multiply
    274,696.31x = 599,005.13 × 599,005.13
  4. Step 4: Simplify right side
    274,696.31x = 358,807,139,776.27
  5. Step 5: Solve for x
    x = 358,807,139,776.27/274,696.31
  6. Step 6: Final answer
    x = 1,306,195.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.