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Finding the Third Proportional to 362,814.75 and 567,031.50

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Solution

The third proportional to 362,814.75 and 567,031.50 is: 886,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,814.75 : 567,031.50 = 567,031.50 : x
  2. Step 2: Convert to fraction form
    362,814.75/567,031.50 = 567,031.50/x
  3. Step 3: Cross multiply
    362,814.75x = 567,031.50 × 567,031.50
  4. Step 4: Simplify right side
    362,814.75x = 321,524,721,992.25
  5. Step 5: Solve for x
    x = 321,524,721,992.25/362,814.75
  6. Step 6: Final answer
    x = 886,195.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.