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Finding the Third Proportional to 408,574,836 and 573,311,376

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Solution

The third proportional to 408,574,836 and 573,311,376 is: 804,469,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,574,836 : 573,311,376 = 573,311,376 : x
  2. Step 2: Convert to fraction form
    408,574,836/573,311,376 = 573,311,376/x
  3. Step 3: Cross multiply
    408,574,836x = 573,311,376 × 573,311,376
  4. Step 4: Simplify right side
    408,574,836x = 328,685,933,851,013,376
  5. Step 5: Solve for x
    x = 328,685,933,851,013,376/408,574,836
  6. Step 6: Final answer
    x = 804,469,352.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.