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Finding the Third Proportional to 543,696 and 799,536

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Solution

The third proportional to 543,696 and 799,536 is: 1,175,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,696 : 799,536 = 799,536 : x
  2. Step 2: Convert to fraction form
    543,696/799,536 = 799,536/x
  3. Step 3: Cross multiply
    543,696x = 799,536 × 799,536
  4. Step 4: Simplify right side
    543,696x = 639,257,815,296
  5. Step 5: Solve for x
    x = 639,257,815,296/543,696
  6. Step 6: Final answer
    x = 1,175,763.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.