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Finding the Third Proportional to 255,636 and 536,966

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Solution

The third proportional to 255,636 and 536,966 is: 1,127,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,636 : 536,966 = 536,966 : x
  2. Step 2: Convert to fraction form
    255,636/536,966 = 536,966/x
  3. Step 3: Cross multiply
    255,636x = 536,966 × 536,966
  4. Step 4: Simplify right side
    255,636x = 288,332,485,156
  5. Step 5: Solve for x
    x = 288,332,485,156/255,636
  6. Step 6: Final answer
    x = 1,127,902.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.