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Finding the Third Proportional to 210,610.13 and 458,672.63

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Solution

The third proportional to 210,610.13 and 458,672.63 is: 998,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,610.13 : 458,672.63 = 458,672.63 : x
  2. Step 2: Convert to fraction form
    210,610.13/458,672.63 = 458,672.63/x
  3. Step 3: Cross multiply
    210,610.13x = 458,672.63 × 458,672.63
  4. Step 4: Simplify right side
    210,610.13x = 210,380,576,924.39
  5. Step 5: Solve for x
    x = 210,380,576,924.39/210,610.13
  6. Step 6: Final answer
    x = 998,910.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.