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Finding the Third Proportional to 208,472 and 406,576

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Solution

The third proportional to 208,472 and 406,576 is: 792,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,472 : 406,576 = 406,576 : x
  2. Step 2: Convert to fraction form
    208,472/406,576 = 406,576/x
  3. Step 3: Cross multiply
    208,472x = 406,576 × 406,576
  4. Step 4: Simplify right side
    208,472x = 165,304,043,776
  5. Step 5: Solve for x
    x = 165,304,043,776/208,472
  6. Step 6: Final answer
    x = 792,931.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.