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Finding the Third Proportional to 209,871 and 449,685

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Solution

The third proportional to 209,871 and 449,685 is: 963,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871 : 449,685 = 449,685 : x
  2. Step 2: Convert to fraction form
    209,871/449,685 = 449,685/x
  3. Step 3: Cross multiply
    209,871x = 449,685 × 449,685
  4. Step 4: Simplify right side
    209,871x = 202,216,599,225
  5. Step 5: Solve for x
    x = 202,216,599,225/209,871
  6. Step 6: Final answer
    x = 963,528.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.