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Finding the Third Proportional to 244,384.59 and 512,142.75

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Solution

The third proportional to 244,384.59 and 512,142.75 is: 1,073,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,384.59 : 512,142.75 = 512,142.75 : x
  2. Step 2: Convert to fraction form
    244,384.59/512,142.75 = 512,142.75/x
  3. Step 3: Cross multiply
    244,384.59x = 512,142.75 × 512,142.75
  4. Step 4: Simplify right side
    244,384.59x = 262,290,196,377.56
  5. Step 5: Solve for x
    x = 262,290,196,377.56/244,384.59
  6. Step 6: Final answer
    x = 1,073,268.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.