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Finding the Third Proportional to 210,989.97 and 461,999.48

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Solution

The third proportional to 210,989.97 and 461,999.48 is: 1,011,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,989.97 : 461,999.48 = 461,999.48 : x
  2. Step 2: Convert to fraction form
    210,989.97/461,999.48 = 461,999.48/x
  3. Step 3: Cross multiply
    210,989.97x = 461,999.48 × 461,999.48
  4. Step 4: Simplify right side
    210,989.97x = 213,443,518,148.72
  5. Step 5: Solve for x
    x = 213,443,518,148.72/210,989.97
  6. Step 6: Final answer
    x = 1,011,628.74

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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.