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Finding the Third Proportional to 370,826 and 809,328

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Solution

The third proportional to 370,826 and 809,328 is: 1,766,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,826 : 809,328 = 809,328 : x
  2. Step 2: Convert to fraction form
    370,826/809,328 = 809,328/x
  3. Step 3: Cross multiply
    370,826x = 809,328 × 809,328
  4. Step 4: Simplify right side
    370,826x = 655,011,811,584
  5. Step 5: Solve for x
    x = 655,011,811,584/370,826
  6. Step 6: Final answer
    x = 1,766,358.92

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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.