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Finding the Third Proportional to 524,491 and 809,904

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Solution

The third proportional to 524,491 and 809,904 is: 1,250,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,491 : 809,904 = 809,904 : x
  2. Step 2: Convert to fraction form
    524,491/809,904 = 809,904/x
  3. Step 3: Cross multiply
    524,491x = 809,904 × 809,904
  4. Step 4: Simplify right side
    524,491x = 655,944,489,216
  5. Step 5: Solve for x
    x = 655,944,489,216/524,491
  6. Step 6: Final answer
    x = 1,250,630.59

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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.