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Finding the Third Proportional to 228,504.94 and 495,145.41

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Solution

The third proportional to 228,504.94 and 495,145.41 is: 1,072,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,504.94 : 495,145.41 = 495,145.41 : x
  2. Step 2: Convert to fraction form
    228,504.94/495,145.41 = 495,145.41/x
  3. Step 3: Cross multiply
    228,504.94x = 495,145.41 × 495,145.41
  4. Step 4: Simplify right side
    228,504.94x = 245,168,973,330.48
  5. Step 5: Solve for x
    x = 245,168,973,330.48/228,504.94
  6. Step 6: Final answer
    x = 1,072,926.37

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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.