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Finding the Third Proportional to 225,647 and 495,586

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Solution

The third proportional to 225,647 and 495,586 is: 1,088,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,647 : 495,586 = 495,586 : x
  2. Step 2: Convert to fraction form
    225,647/495,586 = 495,586/x
  3. Step 3: Cross multiply
    225,647x = 495,586 × 495,586
  4. Step 4: Simplify right side
    225,647x = 245,605,483,396
  5. Step 5: Solve for x
    x = 245,605,483,396/225,647
  6. Step 6: Final answer
    x = 1,088,450.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.