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Finding the Third Proportional to 377,700 and 811,536

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Solution

The third proportional to 377,700 and 811,536 is: 1,743,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,700 : 811,536 = 811,536 : x
  2. Step 2: Convert to fraction form
    377,700/811,536 = 811,536/x
  3. Step 3: Cross multiply
    377,700x = 811,536 × 811,536
  4. Step 4: Simplify right side
    377,700x = 658,590,679,296
  5. Step 5: Solve for x
    x = 658,590,679,296/377,700
  6. Step 6: Final answer
    x = 1,743,687.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.