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Finding the Third Proportional to 485,449 and 753,733

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Solution

The third proportional to 485,449 and 753,733 is: 1,170,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,449 : 753,733 = 753,733 : x
  2. Step 2: Convert to fraction form
    485,449/753,733 = 753,733/x
  3. Step 3: Cross multiply
    485,449x = 753,733 × 753,733
  4. Step 4: Simplify right side
    485,449x = 568,113,435,289
  5. Step 5: Solve for x
    x = 568,113,435,289/485,449
  6. Step 6: Final answer
    x = 1,170,284.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.