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Finding the Third Proportional to 524,587.50 and 810,027

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Solution

The third proportional to 524,587.50 and 810,027 is: 1,250,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,587.50 : 810,027 = 810,027 : x
  2. Step 2: Convert to fraction form
    524,587.50/810,027 = 810,027/x
  3. Step 3: Cross multiply
    524,587.50x = 810,027 × 810,027
  4. Step 4: Simplify right side
    524,587.50x = 656,143,740,729
  5. Step 5: Solve for x
    x = 656,143,740,729/524,587.50
  6. Step 6: Final answer
    x = 1,250,780.36

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Why These Related Problems?

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