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Finding the Third Proportional to 352,854 and 764,030

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Solution

The third proportional to 352,854 and 764,030 is: 1,654,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,854 : 764,030 = 764,030 : x
  2. Step 2: Convert to fraction form
    352,854/764,030 = 764,030/x
  3. Step 3: Cross multiply
    352,854x = 764,030 × 764,030
  4. Step 4: Simplify right side
    352,854x = 583,741,840,900
  5. Step 5: Solve for x
    x = 583,741,840,900/352,854
  6. Step 6: Final answer
    x = 1,654,343.84

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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.