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Finding the Third Proportional to 441,704 and 588,492

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Solution

The third proportional to 441,704 and 588,492 is: 784,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,704 : 588,492 = 588,492 : x
  2. Step 2: Convert to fraction form
    441,704/588,492 = 588,492/x
  3. Step 3: Cross multiply
    441,704x = 588,492 × 588,492
  4. Step 4: Simplify right side
    441,704x = 346,322,834,064
  5. Step 5: Solve for x
    x = 346,322,834,064/441,704
  6. Step 6: Final answer
    x = 784,060.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.