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Finding the Third Proportional to 213,274 and 493,733

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Solution

The third proportional to 213,274 and 493,733 is: 1,143,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274 : 493,733 = 493,733 : x
  2. Step 2: Convert to fraction form
    213,274/493,733 = 493,733/x
  3. Step 3: Cross multiply
    213,274x = 493,733 × 493,733
  4. Step 4: Simplify right side
    213,274x = 243,772,275,289
  5. Step 5: Solve for x
    x = 243,772,275,289/213,274
  6. Step 6: Final answer
    x = 1,143,000.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.