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Finding the Third Proportional to 324,255 and 485,086.50

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Solution

The third proportional to 324,255 and 485,086.50 is: 725,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,255 : 485,086.50 = 485,086.50 : x
  2. Step 2: Convert to fraction form
    324,255/485,086.50 = 485,086.50/x
  3. Step 3: Cross multiply
    324,255x = 485,086.50 × 485,086.50
  4. Step 4: Simplify right side
    324,255x = 235,308,912,482.25
  5. Step 5: Solve for x
    x = 235,308,912,482.25/324,255
  6. Step 6: Final answer
    x = 725,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.