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Finding the Third Proportional to 236,786 and 495,460

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Solution

The third proportional to 236,786 and 495,460 is: 1,036,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,786 : 495,460 = 495,460 : x
  2. Step 2: Convert to fraction form
    236,786/495,460 = 495,460/x
  3. Step 3: Cross multiply
    236,786x = 495,460 × 495,460
  4. Step 4: Simplify right side
    236,786x = 245,480,611,600
  5. Step 5: Solve for x
    x = 245,480,611,600/236,786
  6. Step 6: Final answer
    x = 1,036,719.28

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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.