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Finding the Third Proportional to 409,280 and 838,236

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Solution

The third proportional to 409,280 and 838,236 is: 1,716,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,280 : 838,236 = 838,236 : x
  2. Step 2: Convert to fraction form
    409,280/838,236 = 838,236/x
  3. Step 3: Cross multiply
    409,280x = 838,236 × 838,236
  4. Step 4: Simplify right side
    409,280x = 702,639,591,696
  5. Step 5: Solve for x
    x = 702,639,591,696/409,280
  6. Step 6: Final answer
    x = 1,716,769.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.