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Finding the Third Proportional to 375,174 and 821,502

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Solution

The third proportional to 375,174 and 821,502 is: 1,798,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,174 : 821,502 = 821,502 : x
  2. Step 2: Convert to fraction form
    375,174/821,502 = 821,502/x
  3. Step 3: Cross multiply
    375,174x = 821,502 × 821,502
  4. Step 4: Simplify right side
    375,174x = 674,865,536,004
  5. Step 5: Solve for x
    x = 674,865,536,004/375,174
  6. Step 6: Final answer
    x = 1,798,806.78

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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.