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Finding the Third Proportional to 208,442 and 439,850

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Solution

The third proportional to 208,442 and 439,850 is: 928,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442 : 439,850 = 439,850 : x
  2. Step 2: Convert to fraction form
    208,442/439,850 = 439,850/x
  3. Step 3: Cross multiply
    208,442x = 439,850 × 439,850
  4. Step 4: Simplify right side
    208,442x = 193,468,022,500
  5. Step 5: Solve for x
    x = 193,468,022,500/208,442
  6. Step 6: Final answer
    x = 928,162.38

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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.