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Finding the Third Proportional to 266,258 and 573,112

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Solution

The third proportional to 266,258 and 573,112 is: 1,233,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,258 : 573,112 = 573,112 : x
  2. Step 2: Convert to fraction form
    266,258/573,112 = 573,112/x
  3. Step 3: Cross multiply
    266,258x = 573,112 × 573,112
  4. Step 4: Simplify right side
    266,258x = 328,457,364,544
  5. Step 5: Solve for x
    x = 328,457,364,544/266,258
  6. Step 6: Final answer
    x = 1,233,605.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.