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Finding the Third Proportional to 398,316.75 and 852,541.13

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Solution

The third proportional to 398,316.75 and 852,541.13 is: 1,824,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,316.75 : 852,541.13 = 852,541.13 : x
  2. Step 2: Convert to fraction form
    398,316.75/852,541.13 = 852,541.13/x
  3. Step 3: Cross multiply
    398,316.75x = 852,541.13 × 852,541.13
  4. Step 4: Simplify right side
    398,316.75x = 726,826,369,816.27
  5. Step 5: Solve for x
    x = 726,826,369,816.27/398,316.75
  6. Step 6: Final answer
    x = 1,824,744.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.