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Finding the Third Proportional to 326,197.13 and 459,361.13

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Solution

The third proportional to 326,197.13 and 459,361.13 is: 646,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,197.13 : 459,361.13 = 459,361.13 : x
  2. Step 2: Convert to fraction form
    326,197.13/459,361.13 = 459,361.13/x
  3. Step 3: Cross multiply
    326,197.13x = 459,361.13 × 459,361.13
  4. Step 4: Simplify right side
    326,197.13x = 211,012,643,161.27
  5. Step 5: Solve for x
    x = 211,012,643,161.27/326,197.13
  6. Step 6: Final answer
    x = 646,886.89

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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.