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Finding the Third Proportional to 185,854 and 407,276

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Solution

The third proportional to 185,854 and 407,276 is: 892,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,854 : 407,276 = 407,276 : x
  2. Step 2: Convert to fraction form
    185,854/407,276 = 407,276/x
  3. Step 3: Cross multiply
    185,854x = 407,276 × 407,276
  4. Step 4: Simplify right side
    185,854x = 165,873,740,176
  5. Step 5: Solve for x
    x = 165,873,740,176/185,854
  6. Step 6: Final answer
    x = 892,494.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.