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Finding the Third Proportional to 407,997 and 573,534

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Solution

The third proportional to 407,997 and 573,534 is: 806,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997 : 573,534 = 573,534 : x
  2. Step 2: Convert to fraction form
    407,997/573,534 = 573,534/x
  3. Step 3: Cross multiply
    407,997x = 573,534 × 573,534
  4. Step 4: Simplify right side
    407,997x = 328,941,249,156
  5. Step 5: Solve for x
    x = 328,941,249,156/407,997
  6. Step 6: Final answer
    x = 806,234.48

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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.