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Finding the Third Proportional to 213,264 and 493,708

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Solution

The third proportional to 213,264 and 493,708 is: 1,142,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,264 : 493,708 = 493,708 : x
  2. Step 2: Convert to fraction form
    213,264/493,708 = 493,708/x
  3. Step 3: Cross multiply
    213,264x = 493,708 × 493,708
  4. Step 4: Simplify right side
    213,264x = 243,747,589,264
  5. Step 5: Solve for x
    x = 243,747,589,264/213,264
  6. Step 6: Final answer
    x = 1,142,938.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.