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Finding the Third Proportional to 326,295 and 459,504

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Solution

The third proportional to 326,295 and 459,504 is: 647,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,295 : 459,504 = 459,504 : x
  2. Step 2: Convert to fraction form
    326,295/459,504 = 459,504/x
  3. Step 3: Cross multiply
    326,295x = 459,504 × 459,504
  4. Step 4: Simplify right side
    326,295x = 211,143,926,016
  5. Step 5: Solve for x
    x = 211,143,926,016/326,295
  6. Step 6: Final answer
    x = 647,095.19

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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.