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Finding the Third Proportional to 463,467 and 717,253

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Solution

The third proportional to 463,467 and 717,253 is: 1,110,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,467 : 717,253 = 717,253 : x
  2. Step 2: Convert to fraction form
    463,467/717,253 = 717,253/x
  3. Step 3: Cross multiply
    463,467x = 717,253 × 717,253
  4. Step 4: Simplify right side
    463,467x = 514,451,866,009
  5. Step 5: Solve for x
    x = 514,451,866,009/463,467
  6. Step 6: Final answer
    x = 1,110,007.54

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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.