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Finding the Third Proportional to 266,112 and 573,696

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Solution

The third proportional to 266,112 and 573,696 is: 1,236,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,112 : 573,696 = 573,696 : x
  2. Step 2: Convert to fraction form
    266,112/573,696 = 573,696/x
  3. Step 3: Cross multiply
    266,112x = 573,696 × 573,696
  4. Step 4: Simplify right side
    266,112x = 329,127,100,416
  5. Step 5: Solve for x
    x = 329,127,100,416/266,112
  6. Step 6: Final answer
    x = 1,236,799.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.