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Finding the Third Proportional to 338,716.69 and 464,465.81

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Solution

The third proportional to 338,716.69 and 464,465.81 is: 636,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,716.69 : 464,465.81 = 464,465.81 : x
  2. Step 2: Convert to fraction form
    338,716.69/464,465.81 = 464,465.81/x
  3. Step 3: Cross multiply
    338,716.69x = 464,465.81 × 464,465.81
  4. Step 4: Simplify right side
    338,716.69x = 215,728,490,981.29
  5. Step 5: Solve for x
    x = 215,728,490,981.29/338,716.69
  6. Step 6: Final answer
    x = 636,899.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.