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Finding the Third Proportional to 370,102 and 796,338

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Solution

The third proportional to 370,102 and 796,338 is: 1,713,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,102 : 796,338 = 796,338 : x
  2. Step 2: Convert to fraction form
    370,102/796,338 = 796,338/x
  3. Step 3: Cross multiply
    370,102x = 796,338 × 796,338
  4. Step 4: Simplify right side
    370,102x = 634,154,210,244
  5. Step 5: Solve for x
    x = 634,154,210,244/370,102
  6. Step 6: Final answer
    x = 1,713,457.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.