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Finding the Third Proportional to 206,962 and 446,572

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Solution

The third proportional to 206,962 and 446,572 is: 963,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962 : 446,572 = 446,572 : x
  2. Step 2: Convert to fraction form
    206,962/446,572 = 446,572/x
  3. Step 3: Cross multiply
    206,962x = 446,572 × 446,572
  4. Step 4: Simplify right side
    206,962x = 199,426,551,184
  5. Step 5: Solve for x
    x = 199,426,551,184/206,962
  6. Step 6: Final answer
    x = 963,590.18

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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.