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Finding the Third Proportional to 511,867.69 and 802,900.69

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Solution

The third proportional to 511,867.69 and 802,900.69 is: 1,259,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,867.69 : 802,900.69 = 802,900.69 : x
  2. Step 2: Convert to fraction form
    511,867.69/802,900.69 = 802,900.69/x
  3. Step 3: Cross multiply
    511,867.69x = 802,900.69 × 802,900.69
  4. Step 4: Simplify right side
    511,867.69x = 644,649,513,987.97
  5. Step 5: Solve for x
    x = 644,649,513,987.97/511,867.69
  6. Step 6: Final answer
    x = 1,259,406.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.