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Finding the Third Proportional to 409,630.50 and 838,944

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Solution

The third proportional to 409,630.50 and 838,944 is: 1,718,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,630.50 : 838,944 = 838,944 : x
  2. Step 2: Convert to fraction form
    409,630.50/838,944 = 838,944/x
  3. Step 3: Cross multiply
    409,630.50x = 838,944 × 838,944
  4. Step 4: Simplify right side
    409,630.50x = 703,827,035,136
  5. Step 5: Solve for x
    x = 703,827,035,136/409,630.50
  6. Step 6: Final answer
    x = 1,718,199.78

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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.