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Finding the Third Proportional to 408,056 and 573,614

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Solution

The third proportional to 408,056 and 573,614 is: 806,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,056 : 573,614 = 573,614 : x
  2. Step 2: Convert to fraction form
    408,056/573,614 = 573,614/x
  3. Step 3: Cross multiply
    408,056x = 573,614 × 573,614
  4. Step 4: Simplify right side
    408,056x = 329,033,020,996
  5. Step 5: Solve for x
    x = 329,033,020,996/408,056
  6. Step 6: Final answer
    x = 806,342.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.