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Finding the Third Proportional to 352,840 and 775,664

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Solution

The third proportional to 352,840 and 775,664 is: 1,705,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,840 : 775,664 = 775,664 : x
  2. Step 2: Convert to fraction form
    352,840/775,664 = 775,664/x
  3. Step 3: Cross multiply
    352,840x = 775,664 × 775,664
  4. Step 4: Simplify right side
    352,840x = 601,654,640,896
  5. Step 5: Solve for x
    x = 601,654,640,896/352,840
  6. Step 6: Final answer
    x = 1,705,176.97

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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.