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Finding the Third Proportional to 320,823 and 448,517.25

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Solution

The third proportional to 320,823 and 448,517.25 is: 627,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,823 : 448,517.25 = 448,517.25 : x
  2. Step 2: Convert to fraction form
    320,823/448,517.25 = 448,517.25/x
  3. Step 3: Cross multiply
    320,823x = 448,517.25 × 448,517.25
  4. Step 4: Simplify right side
    320,823x = 201,167,723,547.56
  5. Step 5: Solve for x
    x = 201,167,723,547.56/320,823
  6. Step 6: Final answer
    x = 627,036.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.