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Finding the Third Proportional to 227,370 and 495,106

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Solution

The third proportional to 227,370 and 495,106 is: 1,078,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,370 : 495,106 = 495,106 : x
  2. Step 2: Convert to fraction form
    227,370/495,106 = 495,106/x
  3. Step 3: Cross multiply
    227,370x = 495,106 × 495,106
  4. Step 4: Simplify right side
    227,370x = 245,129,951,236
  5. Step 5: Solve for x
    x = 245,129,951,236/227,370
  6. Step 6: Final answer
    x = 1,078,110.35

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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.