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Finding the Third Proportional to 209,736 and 452,844

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Solution

The third proportional to 209,736 and 452,844 is: 977,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,736 : 452,844 = 452,844 : x
  2. Step 2: Convert to fraction form
    209,736/452,844 = 452,844/x
  3. Step 3: Cross multiply
    209,736x = 452,844 × 452,844
  4. Step 4: Simplify right side
    209,736x = 205,067,688,336
  5. Step 5: Solve for x
    x = 205,067,688,336/209,736
  6. Step 6: Final answer
    x = 977,741.96

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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.