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Finding the Third Proportional to 352,755 and 775,740.38

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Solution

The third proportional to 352,755 and 775,740.38 is: 1,705,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,755 : 775,740.38 = 775,740.38 : x
  2. Step 2: Convert to fraction form
    352,755/775,740.38 = 775,740.38/x
  3. Step 3: Cross multiply
    352,755x = 775,740.38 × 775,740.38
  4. Step 4: Simplify right side
    352,755x = 601,773,129,405.14
  5. Step 5: Solve for x
    x = 601,773,129,405.14/352,755
  6. Step 6: Final answer
    x = 1,705,923.74

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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.