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Finding the Third Proportional to 227,464 and 495,296

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Solution

The third proportional to 227,464 and 495,296 is: 1,078,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,464 : 495,296 = 495,296 : x
  2. Step 2: Convert to fraction form
    227,464/495,296 = 495,296/x
  3. Step 3: Cross multiply
    227,464x = 495,296 × 495,296
  4. Step 4: Simplify right side
    227,464x = 245,318,127,616
  5. Step 5: Solve for x
    x = 245,318,127,616/227,464
  6. Step 6: Final answer
    x = 1,078,492.10

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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.