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Finding the Third Proportional to 208,656 and 446,823

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Solution

The third proportional to 208,656 and 446,823 is: 956,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656 : 446,823 = 446,823 : x
  2. Step 2: Convert to fraction form
    208,656/446,823 = 446,823/x
  3. Step 3: Cross multiply
    208,656x = 446,823 × 446,823
  4. Step 4: Simplify right side
    208,656x = 199,650,793,329
  5. Step 5: Solve for x
    x = 199,650,793,329/208,656
  6. Step 6: Final answer
    x = 956,841.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.