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Finding the Third Proportional to 324,031.50 and 486,045

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Solution

The third proportional to 324,031.50 and 486,045 is: 729,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,031.50 : 486,045 = 486,045 : x
  2. Step 2: Convert to fraction form
    324,031.50/486,045 = 486,045/x
  3. Step 3: Cross multiply
    324,031.50x = 486,045 × 486,045
  4. Step 4: Simplify right side
    324,031.50x = 236,239,742,025
  5. Step 5: Solve for x
    x = 236,239,742,025/324,031.50
  6. Step 6: Final answer
    x = 729,064.13

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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.