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Finding the Third Proportional to 226,922 and 495,391

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Solution

The third proportional to 226,922 and 495,391 is: 1,081,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,922 : 495,391 = 495,391 : x
  2. Step 2: Convert to fraction form
    226,922/495,391 = 495,391/x
  3. Step 3: Cross multiply
    226,922x = 495,391 × 495,391
  4. Step 4: Simplify right side
    226,922x = 245,412,242,881
  5. Step 5: Solve for x
    x = 245,412,242,881/226,922
  6. Step 6: Final answer
    x = 1,081,482.81

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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.