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Finding the Third Proportional to 373,815 and 796,560

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Solution

The third proportional to 373,815 and 796,560 is: 1,697,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,815 : 796,560 = 796,560 : x
  2. Step 2: Convert to fraction form
    373,815/796,560 = 796,560/x
  3. Step 3: Cross multiply
    373,815x = 796,560 × 796,560
  4. Step 4: Simplify right side
    373,815x = 634,507,833,600
  5. Step 5: Solve for x
    x = 634,507,833,600/373,815
  6. Step 6: Final answer
    x = 1,697,384.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.