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Finding the Third Proportional to 259,704 and 346,788

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Solution

The third proportional to 259,704 and 346,788 is: 463,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,704 : 346,788 = 346,788 : x
  2. Step 2: Convert to fraction form
    259,704/346,788 = 346,788/x
  3. Step 3: Cross multiply
    259,704x = 346,788 × 346,788
  4. Step 4: Simplify right side
    259,704x = 120,261,916,944
  5. Step 5: Solve for x
    x = 120,261,916,944/259,704
  6. Step 6: Final answer
    x = 463,073.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.