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Finding the Third Proportional to 316,067.06 and 484,648.31

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Solution

The third proportional to 316,067.06 and 484,648.31 is: 743,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,067.06 : 484,648.31 = 484,648.31 : x
  2. Step 2: Convert to fraction form
    316,067.06/484,648.31 = 484,648.31/x
  3. Step 3: Cross multiply
    316,067.06x = 484,648.31 × 484,648.31
  4. Step 4: Simplify right side
    316,067.06x = 234,883,986,809.10
  5. Step 5: Solve for x
    x = 234,883,986,809.10/316,067.06
  6. Step 6: Final answer
    x = 743,146.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.