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Finding the Third Proportional to 375,222 and 820,510

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Solution

The third proportional to 375,222 and 820,510 is: 1,794,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,222 : 820,510 = 820,510 : x
  2. Step 2: Convert to fraction form
    375,222/820,510 = 820,510/x
  3. Step 3: Cross multiply
    375,222x = 820,510 × 820,510
  4. Step 4: Simplify right side
    375,222x = 673,236,660,100
  5. Step 5: Solve for x
    x = 673,236,660,100/375,222
  6. Step 6: Final answer
    x = 1,794,235.57

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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.