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Finding the Third Proportional to 259,710 and 346,797

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Solution

The third proportional to 259,710 and 346,797 is: 463,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710 : 346,797 = 346,797 : x
  2. Step 2: Convert to fraction form
    259,710/346,797 = 346,797/x
  3. Step 3: Cross multiply
    259,710x = 346,797 × 346,797
  4. Step 4: Simplify right side
    259,710x = 120,268,159,209
  5. Step 5: Solve for x
    x = 120,268,159,209/259,710
  6. Step 6: Final answer
    x = 463,086.36

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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.