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Finding the Third Proportional to 524,617 and 810,173

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Solution

The third proportional to 524,617 and 810,173 is: 1,251,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,617 : 810,173 = 810,173 : x
  2. Step 2: Convert to fraction form
    524,617/810,173 = 810,173/x
  3. Step 3: Cross multiply
    524,617x = 810,173 × 810,173
  4. Step 4: Simplify right side
    524,617x = 656,380,289,929
  5. Step 5: Solve for x
    x = 656,380,289,929/524,617
  6. Step 6: Final answer
    x = 1,251,160.92

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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.