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Finding the Third Proportional to 511,492.22 and 744,749.44

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Solution

The third proportional to 511,492.22 and 744,749.44 is: 1,084,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,492.22 : 744,749.44 = 744,749.44 : x
  2. Step 2: Convert to fraction form
    511,492.22/744,749.44 = 744,749.44/x
  3. Step 3: Cross multiply
    511,492.22x = 744,749.44 × 744,749.44
  4. Step 4: Simplify right side
    511,492.22x = 554,651,724,656.57
  5. Step 5: Solve for x
    x = 554,651,724,656.57/511,492.22
  6. Step 6: Final answer
    x = 1,084,379.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.