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Finding the Third Proportional to 208,904.06 and 442,821.94

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Solution

The third proportional to 208,904.06 and 442,821.94 is: 938,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,904.06 : 442,821.94 = 442,821.94 : x
  2. Step 2: Convert to fraction form
    208,904.06/442,821.94 = 442,821.94/x
  3. Step 3: Cross multiply
    208,904.06x = 442,821.94 × 442,821.94
  4. Step 4: Simplify right side
    208,904.06x = 196,091,268,331.25
  5. Step 5: Solve for x
    x = 196,091,268,331.25/208,904.06
  6. Step 6: Final answer
    x = 938,666.61

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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.