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Finding the Third Proportional to 511,858.50 and 802,883.25

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Solution

The third proportional to 511,858.50 and 802,883.25 is: 1,259,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,858.50 : 802,883.25 = 802,883.25 : x
  2. Step 2: Convert to fraction form
    511,858.50/802,883.25 = 802,883.25/x
  3. Step 3: Cross multiply
    511,858.50x = 802,883.25 × 802,883.25
  4. Step 4: Simplify right side
    511,858.50x = 644,621,513,130.56
  5. Step 5: Solve for x
    x = 644,621,513,130.56/511,858.50
  6. Step 6: Final answer
    x = 1,259,374.44

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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.