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Finding the Third Proportional to 324,080.25 and 490,598.25

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Solution

The third proportional to 324,080.25 and 490,598.25 is: 742,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,080.25 : 490,598.25 = 490,598.25 : x
  2. Step 2: Convert to fraction form
    324,080.25/490,598.25 = 490,598.25/x
  3. Step 3: Cross multiply
    324,080.25x = 490,598.25 × 490,598.25
  4. Step 4: Simplify right side
    324,080.25x = 240,686,642,903.06
  5. Step 5: Solve for x
    x = 240,686,642,903.06/324,080.25
  6. Step 6: Final answer
    x = 742,676.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.