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Finding the Third Proportional to 209,196 and 454,656

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Solution

The third proportional to 209,196 and 454,656 is: 988,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,196 : 454,656 = 454,656 : x
  2. Step 2: Convert to fraction form
    209,196/454,656 = 454,656/x
  3. Step 3: Cross multiply
    209,196x = 454,656 × 454,656
  4. Step 4: Simplify right side
    209,196x = 206,712,078,336
  5. Step 5: Solve for x
    x = 206,712,078,336/209,196
  6. Step 6: Final answer
    x = 988,126.34

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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.