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Finding the Third Proportional to 373,788 and 796,506.75

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Solution

The third proportional to 373,788 and 796,506.75 is: 1,697,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,788 : 796,506.75 = 796,506.75 : x
  2. Step 2: Convert to fraction form
    373,788/796,506.75 = 796,506.75/x
  3. Step 3: Cross multiply
    373,788x = 796,506.75 × 796,506.75
  4. Step 4: Simplify right side
    373,788x = 634,423,002,795.56
  5. Step 5: Solve for x
    x = 634,423,002,795.56/373,788
  6. Step 6: Final answer
    x = 1,697,280.28

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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.