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Finding the Third Proportional to 375,860.25 and 810,830.25

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Solution

The third proportional to 375,860.25 and 810,830.25 is: 1,749,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,860.25 : 810,830.25 = 810,830.25 : x
  2. Step 2: Convert to fraction form
    375,860.25/810,830.25 = 810,830.25/x
  3. Step 3: Cross multiply
    375,860.25x = 810,830.25 × 810,830.25
  4. Step 4: Simplify right side
    375,860.25x = 657,445,694,315.06
  5. Step 5: Solve for x
    x = 657,445,694,315.06/375,860.25
  6. Step 6: Final answer
    x = 1,749,175.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.