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Finding the Third Proportional to 324,555 and 499,168.50

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Solution

The third proportional to 324,555 and 499,168.50 is: 767,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,555 : 499,168.50 = 499,168.50 : x
  2. Step 2: Convert to fraction form
    324,555/499,168.50 = 499,168.50/x
  3. Step 3: Cross multiply
    324,555x = 499,168.50 × 499,168.50
  4. Step 4: Simplify right side
    324,555x = 249,169,191,392.25
  5. Step 5: Solve for x
    x = 249,169,191,392.25/324,555
  6. Step 6: Final answer
    x = 767,725.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.