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Finding the Third Proportional to 375,176.25 and 821,504.25

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Solution

The third proportional to 375,176.25 and 821,504.25 is: 1,798,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,176.25 : 821,504.25 = 821,504.25 : x
  2. Step 2: Convert to fraction form
    375,176.25/821,504.25 = 821,504.25/x
  3. Step 3: Cross multiply
    375,176.25x = 821,504.25 × 821,504.25
  4. Step 4: Simplify right side
    375,176.25x = 674,869,232,768.06
  5. Step 5: Solve for x
    x = 674,869,232,768.06/375,176.25
  6. Step 6: Final answer
    x = 1,798,805.85

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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.