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Finding the Third Proportional to 235,626 and 364,034

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Solution

The third proportional to 235,626 and 364,034 is: 562,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,626 : 364,034 = 364,034 : x
  2. Step 2: Convert to fraction form
    235,626/364,034 = 364,034/x
  3. Step 3: Cross multiply
    235,626x = 364,034 × 364,034
  4. Step 4: Simplify right side
    235,626x = 132,520,753,156
  5. Step 5: Solve for x
    x = 132,520,753,156/235,626
  6. Step 6: Final answer
    x = 562,419.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.