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Finding the Third Proportional to 257,704 and 362,904

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Solution

The third proportional to 257,704 and 362,904 is: 511,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,704 : 362,904 = 362,904 : x
  2. Step 2: Convert to fraction form
    257,704/362,904 = 362,904/x
  3. Step 3: Cross multiply
    257,704x = 362,904 × 362,904
  4. Step 4: Simplify right side
    257,704x = 131,699,313,216
  5. Step 5: Solve for x
    x = 131,699,313,216/257,704
  6. Step 6: Final answer
    x = 511,048.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.