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Finding the Third Proportional to 236,802 and 495,492

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Solution

The third proportional to 236,802 and 495,492 is: 1,036,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,802 : 495,492 = 495,492 : x
  2. Step 2: Convert to fraction form
    236,802/495,492 = 495,492/x
  3. Step 3: Cross multiply
    236,802x = 495,492 × 495,492
  4. Step 4: Simplify right side
    236,802x = 245,512,322,064
  5. Step 5: Solve for x
    x = 245,512,322,064/236,802
  6. Step 6: Final answer
    x = 1,036,783.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.