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Finding the Third Proportional to 375,010 and 821,244

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Solution

The third proportional to 375,010 and 821,244 is: 1,798,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,010 : 821,244 = 821,244 : x
  2. Step 2: Convert to fraction form
    375,010/821,244 = 821,244/x
  3. Step 3: Cross multiply
    375,010x = 821,244 × 821,244
  4. Step 4: Simplify right side
    375,010x = 674,441,707,536
  5. Step 5: Solve for x
    x = 674,441,707,536/375,010
  6. Step 6: Final answer
    x = 1,798,463.26

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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.