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Finding the Third Proportional to 524,580.75 and 810,018

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Solution

The third proportional to 524,580.75 and 810,018 is: 1,250,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,580.75 : 810,018 = 810,018 : x
  2. Step 2: Convert to fraction form
    524,580.75/810,018 = 810,018/x
  3. Step 3: Cross multiply
    524,580.75x = 810,018 × 810,018
  4. Step 4: Simplify right side
    524,580.75x = 656,129,160,324
  5. Step 5: Solve for x
    x = 656,129,160,324/524,580.75
  6. Step 6: Final answer
    x = 1,250,768.66

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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.