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Finding the Third Proportional to 268,616 and 574,106

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Solution

The third proportional to 268,616 and 574,106 is: 1,227,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,616 : 574,106 = 574,106 : x
  2. Step 2: Convert to fraction form
    268,616/574,106 = 574,106/x
  3. Step 3: Cross multiply
    268,616x = 574,106 × 574,106
  4. Step 4: Simplify right side
    268,616x = 329,597,699,236
  5. Step 5: Solve for x
    x = 329,597,699,236/268,616
  6. Step 6: Final answer
    x = 1,227,021.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.