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Finding the Third Proportional to 231,530 and 475,348

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Solution

The third proportional to 231,530 and 475,348 is: 975,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,530 : 475,348 = 475,348 : x
  2. Step 2: Convert to fraction form
    231,530/475,348 = 475,348/x
  3. Step 3: Cross multiply
    231,530x = 475,348 × 475,348
  4. Step 4: Simplify right side
    231,530x = 225,955,721,104
  5. Step 5: Solve for x
    x = 225,955,721,104/231,530
  6. Step 6: Final answer
    x = 975,924.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.