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Finding the Third Proportional to 211,060.69 and 462,148.03

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Solution

The third proportional to 211,060.69 and 462,148.03 is: 1,011,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,060.69 : 462,148.03 = 462,148.03 : x
  2. Step 2: Convert to fraction form
    211,060.69/462,148.03 = 462,148.03/x
  3. Step 3: Cross multiply
    211,060.69x = 462,148.03 × 462,148.03
  4. Step 4: Simplify right side
    211,060.69x = 213,580,802,788.25
  5. Step 5: Solve for x
    x = 213,580,802,788.25/211,060.69
  6. Step 6: Final answer
    x = 1,011,940.24

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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.