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Finding the Third Proportional to 375,180 and 821,516

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Solution

The third proportional to 375,180 and 821,516 is: 1,798,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,180 : 821,516 = 821,516 : x
  2. Step 2: Convert to fraction form
    375,180/821,516 = 821,516/x
  3. Step 3: Cross multiply
    375,180x = 821,516 × 821,516
  4. Step 4: Simplify right side
    375,180x = 674,888,538,256
  5. Step 5: Solve for x
    x = 674,888,538,256/375,180
  6. Step 6: Final answer
    x = 1,798,839.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.