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Finding the Third Proportional to 208,970 and 449,364

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Solution

The third proportional to 208,970 and 449,364 is: 966,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970 : 449,364 = 449,364 : x
  2. Step 2: Convert to fraction form
    208,970/449,364 = 449,364/x
  3. Step 3: Cross multiply
    208,970x = 449,364 × 449,364
  4. Step 4: Simplify right side
    208,970x = 201,928,004,496
  5. Step 5: Solve for x
    x = 201,928,004,496/208,970
  6. Step 6: Final answer
    x = 966,301.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.