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Finding the Third Proportional to 409,280 and 894,400

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Solution

The third proportional to 409,280 and 894,400 is: 1,954,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,280 : 894,400 = 894,400 : x
  2. Step 2: Convert to fraction form
    409,280/894,400 = 894,400/x
  3. Step 3: Cross multiply
    409,280x = 894,400 × 894,400
  4. Step 4: Simplify right side
    409,280x = 799,951,360,000
  5. Step 5: Solve for x
    x = 799,951,360,000/409,280
  6. Step 6: Final answer
    x = 1,954,533.23

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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.