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Finding the Third Proportional to 324,556.88 and 706,256.72

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Solution

The third proportional to 324,556.88 and 706,256.72 is: 1,536,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,556.88 : 706,256.72 = 706,256.72 : x
  2. Step 2: Convert to fraction form
    324,556.88/706,256.72 = 706,256.72/x
  3. Step 3: Cross multiply
    324,556.88x = 706,256.72 × 706,256.72
  4. Step 4: Simplify right side
    324,556.88x = 498,798,552,779.52
  5. Step 5: Solve for x
    x = 498,798,552,779.52/324,556.88
  6. Step 6: Final answer
    x = 1,536,860.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.