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Finding the Third Proportional to 352,842.75 and 764,005.50

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Solution

The third proportional to 352,842.75 and 764,005.50 is: 1,654,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,842.75 : 764,005.50 = 764,005.50 : x
  2. Step 2: Convert to fraction form
    352,842.75/764,005.50 = 764,005.50/x
  3. Step 3: Cross multiply
    352,842.75x = 764,005.50 × 764,005.50
  4. Step 4: Simplify right side
    352,842.75x = 583,704,404,030.25
  5. Step 5: Solve for x
    x = 583,704,404,030.25/352,842.75
  6. Step 6: Final answer
    x = 1,654,290.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.