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Finding the Third Proportional to 326,176 and 459,326

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Solution

The third proportional to 326,176 and 459,326 is: 646,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,176 : 459,326 = 459,326 : x
  2. Step 2: Convert to fraction form
    326,176/459,326 = 459,326/x
  3. Step 3: Cross multiply
    326,176x = 459,326 × 459,326
  4. Step 4: Simplify right side
    326,176x = 210,980,374,276
  5. Step 5: Solve for x
    x = 210,980,374,276/326,176
  6. Step 6: Final answer
    x = 646,829.85

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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.