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Finding the Third Proportional to 492,940.69 and 761,212.69

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Solution

The third proportional to 492,940.69 and 761,212.69 is: 1,175,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,940.69 : 761,212.69 = 761,212.69 : x
  2. Step 2: Convert to fraction form
    492,940.69/761,212.69 = 761,212.69/x
  3. Step 3: Cross multiply
    492,940.69x = 761,212.69 × 761,212.69
  4. Step 4: Simplify right side
    492,940.69x = 579,444,755,610.97
  5. Step 5: Solve for x
    x = 579,444,755,610.97/492,940.69
  6. Step 6: Final answer
    x = 1,175,485.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.