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Finding the Third Proportional to 352,768 and 775,772

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Solution

The third proportional to 352,768 and 775,772 is: 1,705,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,768 : 775,772 = 775,772 : x
  2. Step 2: Convert to fraction form
    352,768/775,772 = 775,772/x
  3. Step 3: Cross multiply
    352,768x = 775,772 × 775,772
  4. Step 4: Simplify right side
    352,768x = 601,822,195,984
  5. Step 5: Solve for x
    x = 601,822,195,984/352,768
  6. Step 6: Final answer
    x = 1,705,999.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.