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Finding the Third Proportional to 228,835 and 495,794

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Solution

The third proportional to 228,835 and 495,794 is: 1,074,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,835 : 495,794 = 495,794 : x
  2. Step 2: Convert to fraction form
    228,835/495,794 = 495,794/x
  3. Step 3: Cross multiply
    228,835x = 495,794 × 495,794
  4. Step 4: Simplify right side
    228,835x = 245,811,690,436
  5. Step 5: Solve for x
    x = 245,811,690,436/228,835
  6. Step 6: Final answer
    x = 1,074,187.47

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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.