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Finding the Third Proportional to 210,331.69 and 458,730.84

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Solution

The third proportional to 210,331.69 and 458,730.84 is: 1,000,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,331.69 : 458,730.84 = 458,730.84 : x
  2. Step 2: Convert to fraction form
    210,331.69/458,730.84 = 458,730.84/x
  3. Step 3: Cross multiply
    210,331.69x = 458,730.84 × 458,730.84
  4. Step 4: Simplify right side
    210,331.69x = 210,433,987,007.59
  5. Step 5: Solve for x
    x = 210,433,987,007.59/210,331.69
  6. Step 6: Final answer
    x = 1,000,486.37

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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.