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Finding the Third Proportional to 324,254.07 and 461,905.51

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Solution

The third proportional to 324,254.07 and 461,905.51 is: 657,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,254.07 : 461,905.51 = 461,905.51 : x
  2. Step 2: Convert to fraction form
    324,254.07/461,905.51 = 461,905.51/x
  3. Step 3: Cross multiply
    324,254.07x = 461,905.51 × 461,905.51
  4. Step 4: Simplify right side
    324,254.07x = 213,356,696,343.21
  5. Step 5: Solve for x
    x = 213,356,696,343.21/324,254.07
  6. Step 6: Final answer
    x = 657,992.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.