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Finding the Third Proportional to 216,738 and 463,520

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Solution

The third proportional to 216,738 and 463,520 is: 991,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,738 : 463,520 = 463,520 : x
  2. Step 2: Convert to fraction form
    216,738/463,520 = 463,520/x
  3. Step 3: Cross multiply
    216,738x = 463,520 × 463,520
  4. Step 4: Simplify right side
    216,738x = 214,850,790,400
  5. Step 5: Solve for x
    x = 214,850,790,400/216,738
  6. Step 6: Final answer
    x = 991,292.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.