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Finding the Third Proportional to 375,222 and 816,540

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Solution

The third proportional to 375,222 and 816,540 is: 1,776,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,222 : 816,540 = 816,540 : x
  2. Step 2: Convert to fraction form
    375,222/816,540 = 816,540/x
  3. Step 3: Cross multiply
    375,222x = 816,540 × 816,540
  4. Step 4: Simplify right side
    375,222x = 666,737,571,600
  5. Step 5: Solve for x
    x = 666,737,571,600/375,222
  6. Step 6: Final answer
    x = 1,776,914.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.