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Finding the Third Proportional to 206,620 and 448,008

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Solution

The third proportional to 206,620 and 448,008 is: 971,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,620 : 448,008 = 448,008 : x
  2. Step 2: Convert to fraction form
    206,620/448,008 = 448,008/x
  3. Step 3: Cross multiply
    206,620x = 448,008 × 448,008
  4. Step 4: Simplify right side
    206,620x = 200,711,168,064
  5. Step 5: Solve for x
    x = 200,711,168,064/206,620
  6. Step 6: Final answer
    x = 971,402.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.