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Finding the Third Proportional to 208,906 and 442,826

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Solution

The third proportional to 208,906 and 442,826 is: 938,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,906 : 442,826 = 442,826 : x
  2. Step 2: Convert to fraction form
    208,906/442,826 = 442,826/x
  3. Step 3: Cross multiply
    208,906x = 442,826 × 442,826
  4. Step 4: Simplify right side
    208,906x = 196,094,866,276
  5. Step 5: Solve for x
    x = 196,094,866,276/208,906
  6. Step 6: Final answer
    x = 938,675.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.