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Finding the Third Proportional to 370,017 and 809,235

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Solution

The third proportional to 370,017 and 809,235 is: 1,769,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,017 : 809,235 = 809,235 : x
  2. Step 2: Convert to fraction form
    370,017/809,235 = 809,235/x
  3. Step 3: Cross multiply
    370,017x = 809,235 × 809,235
  4. Step 4: Simplify right side
    370,017x = 654,861,285,225
  5. Step 5: Solve for x
    x = 654,861,285,225/370,017
  6. Step 6: Final answer
    x = 1,769,814.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.