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Finding the Third Proportional to 373,802 and 796,534

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Solution

The third proportional to 373,802 and 796,534 is: 1,697,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,802 : 796,534 = 796,534 : x
  2. Step 2: Convert to fraction form
    373,802/796,534 = 796,534/x
  3. Step 3: Cross multiply
    373,802x = 796,534 × 796,534
  4. Step 4: Simplify right side
    373,802x = 634,466,413,156
  5. Step 5: Solve for x
    x = 634,466,413,156/373,802
  6. Step 6: Final answer
    x = 1,697,332.85

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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.