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Finding the Third Proportional to 402,082 and 837,236

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Solution

The third proportional to 402,082 and 837,236 is: 1,743,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,082 : 837,236 = 837,236 : x
  2. Step 2: Convert to fraction form
    402,082/837,236 = 837,236/x
  3. Step 3: Cross multiply
    402,082x = 837,236 × 837,236
  4. Step 4: Simplify right side
    402,082x = 700,964,119,696
  5. Step 5: Solve for x
    x = 700,964,119,696/402,082
  6. Step 6: Final answer
    x = 1,743,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.