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Finding the Third Proportional to 207,356 and 436,844

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Solution

The third proportional to 207,356 and 436,844 is: 920,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,356 : 436,844 = 436,844 : x
  2. Step 2: Convert to fraction form
    207,356/436,844 = 436,844/x
  3. Step 3: Cross multiply
    207,356x = 436,844 × 436,844
  4. Step 4: Simplify right side
    207,356x = 190,832,680,336
  5. Step 5: Solve for x
    x = 190,832,680,336/207,356
  6. Step 6: Final answer
    x = 920,314.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.