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Finding the Third Proportional to 324,697.50 and 474,475.50

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Solution

The third proportional to 324,697.50 and 474,475.50 is: 693,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,697.50 : 474,475.50 = 474,475.50 : x
  2. Step 2: Convert to fraction form
    324,697.50/474,475.50 = 474,475.50/x
  3. Step 3: Cross multiply
    324,697.50x = 474,475.50 × 474,475.50
  4. Step 4: Simplify right side
    324,697.50x = 225,127,000,100.25
  5. Step 5: Solve for x
    x = 225,127,000,100.25/324,697.50
  6. Step 6: Final answer
    x = 693,343.80

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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.