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Finding the Third Proportional to 326,268 and 459,465.75

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Solution

The third proportional to 326,268 and 459,465.75 is: 647,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,268 : 459,465.75 = 459,465.75 : x
  2. Step 2: Convert to fraction form
    326,268/459,465.75 = 459,465.75/x
  3. Step 3: Cross multiply
    326,268x = 459,465.75 × 459,465.75
  4. Step 4: Simplify right side
    326,268x = 211,108,775,423.06
  5. Step 5: Solve for x
    x = 211,108,775,423.06/326,268
  6. Step 6: Final answer
    x = 647,041.01

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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.