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Finding the Third Proportional to 408,026 and 573,571

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Solution

The third proportional to 408,026 and 573,571 is: 806,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,026 : 573,571 = 573,571 : x
  2. Step 2: Convert to fraction form
    408,026/573,571 = 573,571/x
  3. Step 3: Cross multiply
    408,026x = 573,571 × 573,571
  4. Step 4: Simplify right side
    408,026x = 328,983,692,041
  5. Step 5: Solve for x
    x = 328,983,692,041/408,026
  6. Step 6: Final answer
    x = 806,281.20

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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.