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Finding the Third Proportional to 370,828 and 809,332

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Solution

The third proportional to 370,828 and 809,332 is: 1,766,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,828 : 809,332 = 809,332 : x
  2. Step 2: Convert to fraction form
    370,828/809,332 = 809,332/x
  3. Step 3: Cross multiply
    370,828x = 809,332 × 809,332
  4. Step 4: Simplify right side
    370,828x = 655,018,286,224
  5. Step 5: Solve for x
    x = 655,018,286,224/370,828
  6. Step 6: Final answer
    x = 1,766,366.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.