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Finding the Third Proportional to 206,658 and 446,364

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Solution

The third proportional to 206,658 and 446,364 is: 964,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,658 : 446,364 = 446,364 : x
  2. Step 2: Convert to fraction form
    206,658/446,364 = 446,364/x
  3. Step 3: Cross multiply
    206,658x = 446,364 × 446,364
  4. Step 4: Simplify right side
    206,658x = 199,240,820,496
  5. Step 5: Solve for x
    x = 199,240,820,496/206,658
  6. Step 6: Final answer
    x = 964,108.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.