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Finding the Third Proportional to 407,996 and 573,530

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Solution

The third proportional to 407,996 and 573,530 is: 806,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,996 : 573,530 = 573,530 : x
  2. Step 2: Convert to fraction form
    407,996/573,530 = 573,530/x
  3. Step 3: Cross multiply
    407,996x = 573,530 × 573,530
  4. Step 4: Simplify right side
    407,996x = 328,936,660,900
  5. Step 5: Solve for x
    x = 328,936,660,900/407,996
  6. Step 6: Final answer
    x = 806,225.21

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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.