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Finding the Third Proportional to 352,742 and 775,468

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Solution

The third proportional to 352,742 and 775,468 is: 1,704,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,742 : 775,468 = 775,468 : x
  2. Step 2: Convert to fraction form
    352,742/775,468 = 775,468/x
  3. Step 3: Cross multiply
    352,742x = 775,468 × 775,468
  4. Step 4: Simplify right side
    352,742x = 601,350,619,024
  5. Step 5: Solve for x
    x = 601,350,619,024/352,742
  6. Step 6: Final answer
    x = 1,704,788.82

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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.