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Finding the Third Proportional to 268,696 and 566,545

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Solution

The third proportional to 268,696 and 566,545 is: 1,194,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,696 : 566,545 = 566,545 : x
  2. Step 2: Convert to fraction form
    268,696/566,545 = 566,545/x
  3. Step 3: Cross multiply
    268,696x = 566,545 × 566,545
  4. Step 4: Simplify right side
    268,696x = 320,973,237,025
  5. Step 5: Solve for x
    x = 320,973,237,025/268,696
  6. Step 6: Final answer
    x = 1,194,559.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.