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Finding the Third Proportional to 236,572 and 520,455.75

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Solution

The third proportional to 236,572 and 520,455.75 is: 1,144,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,572 : 520,455.75 = 520,455.75 : x
  2. Step 2: Convert to fraction form
    236,572/520,455.75 = 520,455.75/x
  3. Step 3: Cross multiply
    236,572x = 520,455.75 × 520,455.75
  4. Step 4: Simplify right side
    236,572x = 270,874,187,708.06
  5. Step 5: Solve for x
    x = 270,874,187,708.06/236,572
  6. Step 6: Final answer
    x = 1,144,996.82

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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.