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Finding the Third Proportional to 354,522 and 532,041

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Solution

The third proportional to 354,522 and 532,041 is: 798,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,522 : 532,041 = 532,041 : x
  2. Step 2: Convert to fraction form
    354,522/532,041 = 532,041/x
  3. Step 3: Cross multiply
    354,522x = 532,041 × 532,041
  4. Step 4: Simplify right side
    354,522x = 283,067,625,681
  5. Step 5: Solve for x
    x = 283,067,625,681/354,522
  6. Step 6: Final answer
    x = 798,448.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.