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Finding the Third Proportional to 262,076.25 and 573,765

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Solution

The third proportional to 262,076.25 and 573,765 is: 1,256,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,076.25 : 573,765 = 573,765 : x
  2. Step 2: Convert to fraction form
    262,076.25/573,765 = 573,765/x
  3. Step 3: Cross multiply
    262,076.25x = 573,765 × 573,765
  4. Step 4: Simplify right side
    262,076.25x = 329,206,275,225
  5. Step 5: Solve for x
    x = 329,206,275,225/262,076.25
  6. Step 6: Final answer
    x = 1,256,146.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.