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Finding the Third Proportional to 369,477 and 796,641

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Solution

The third proportional to 369,477 and 796,641 is: 1,717,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,477 : 796,641 = 796,641 : x
  2. Step 2: Convert to fraction form
    369,477/796,641 = 796,641/x
  3. Step 3: Cross multiply
    369,477x = 796,641 × 796,641
  4. Step 4: Simplify right side
    369,477x = 634,636,882,881
  5. Step 5: Solve for x
    x = 634,636,882,881/369,477
  6. Step 6: Final answer
    x = 1,717,662.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.